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test-procedure2b-5.php
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<!--
Aturan pembentukan soal beserta jawaban-jawabannya
Tipe soal : Penyederhanaan pangkat
Prosedure benar :
A^m = A...A
A^0 = 1
A^-m = 1/A...A
Prosedure salah :
A^m = A . m
A^0 = 0
A^-m = (-A)^m
A^m = m^A
A^m = A^m+1
A^m = A^m-1
A^(-m) = -A^m //**harusnya kalau ada pangkat minus
Tipe soal : Product rule A^m . A^n
Prosedure benar :
A^(m+n)
Prosedure salah :
A^(m.n)
A^(m-n)
(A.A)^(m.n)
(A.A)^(m+n)
(A+A)^(m+n)
Tipe soal : Quotient rule A^m / A^n
Prosedure benar :
A^(m-n)
Prosedure salah :
A^(m.n)
A^(m+n)
A^(m/n)
(-A)^(m-n)
(A/A)^(m/n)
Tipe soal : power to power rule (A^m)^n
Prosedure benar :
A^(m.n)
Prosedure salah :
A^(m-n)
A^(m+n)
(A.n)^(m)
(A.n)^(m.n)
-->
<?php
// function idenPowerQuestion(){
$bil = mt_rand(2, 5); //random 2,5
while(in_array(($pn = mt_rand(-5, 5)), array(-1, 1))); //random -5 sampai 5, tp tidak boleh mengandung nilai -1, 0, 1
// $pn = 0;
// }
// function samebaseQuestion(){
//random alphanumerik
$bil1 = array('p', 'q', 'r', '3', '5', '6', '7');
$bil1 = $bil1[array_rand($bil1)];
if($bil1 == 'p' || $bil1 == 'q' || $bil1 == 'r'){
$var = 'alp';
}else{
$var = 'int';
}
// $alp = array_rand($bil1_arr);
// $bil1 = mt_rand(2, 5);
// while(in_array(($pn1 = mt_rand(-10, 10)), array(0)));
// while(in_array(($pn2 = mt_rand(-10, 10)), array(0)));
$pn_r = array(-9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9);
shuffle($pn_r);
$pn1 = $pn_r[0];
$pn2 = $pn_r[1];
$pn3 = $pn_r[2];
$pn4 = $pn_r[3];
$pn5 = $pn_r[4];
$pn6 = $pn_r[5];
//nilai kedua pangkatnya tidak akan sama
//**harusnya kalau pangkat satu tidak dimunculkan angkanya
// }
/*function randdomsamebaseQuestion(){
//random operator
$opr_rnd = array(
'pr', //untuk product rule
'q', //untuk quotient rule
'pp', //untuk power to power rule
);
}*/
?>
<html>
<head>
<title>basis sama - macam-macam rule</title>
<!-- mathematical markup language javascript (MathJax) -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
jax: ["input/TeX","output/HTML-CSS"],
displayAlign: "left",
tex2jax: {inlineMath: [["$","$"],["\\(","\\)"]]}
});
</script>
<style>
a{
text-decoration: none;
}
</style>
</head>
<body>
<h4>1. Soal tipe identifikasi pangkat sederhana</h4>
$$<?php echo $bil ?>^{<?php echo $pn ?>}$$
<?php
$bil1a = powerIden($bil, $pn);
echo $bil1a."<br/>";
// $opt1 = powerIden($bil, $pn)[1];
$bil1b = powerIdenMC($bil, $pn)[0];
echo $bil1b;
$bil1c = powerIdenMC2($bil, $pn);
$bil1d = powerIdenMC3($bil, $pn);
echo $bil1d."<br/>";
$bil1e = powerIdenMC4($bil, $pn);
echo $bil1e;
// $opt2 = powerIdenMC($bil, $pn)[1];
// shuffleOpt($bil1, $opt1, $opt2, $opt3, $opt4, $opt5);
?>
<h4>2. Soal tipe basis sama dengan prosedure product rule</h4>
$$<?php echo $bil1 ?>^{<?php echo $pn1 ?>} \times <?php echo $bil1 ?>^{<?php echo $pn2 ?>} = $$
<!-- pilihan ganda dihasilkan berdasarkan prosedure-prosedure tertentu -->
<!-- option 1 adalah jawaban yang benar dengan prosedure sesuai -->
<!-- setiap option mengandung jawaban dan nilai benar/salah -->
<!-- setiap option dishuffle/dirandom -->
<?php
// die();
$opt1 = productRule($bil1, $pn1, $pn2, $var);
$opt2 = quotientRule($bil1, $pn1, $pn2, $var);
$opt3 = powerRule($bil1, $pn1, $pn2, $var);
$opt4 = productMCRule($bil1, $pn1, $pn2, $var);
$opt5 = productMCRule3($bil1, $pn1, $pn2, $var);
// $opt5 = productMCRule2($bil1, $pn1, $pn2, $var);
// shuffleOpt($bil1, $opt1, $opt2, $opt3, $opt4, $opt5);
?>
<h4>3. Soal tipe basis sama dengan prosedure quotient rule</h4>
$$<?php echo $bil1 ?>^{<?php echo $pn1 ?>} : <?php echo $bil1 ?>^{<?php echo $pn2 ?>} = $$
<?php
$opt1 = quotientRule($bil1, $pn1, $pn2, $var);
$opt2 = productRule($bil1, $pn1, $pn2, $var);
$opt3 = powerRule($bil1, $pn1, $pn2, $var);
$opt4 = quotientMCRule2($bil1, $pn1, $pn2, $var);
$opt5 = quotientMCRule3($bil1, $pn1, $pn2, $var);
/*shuffleOpt($bil1, $opt1, $opt2, $opt3, $opt4, $opt5);*/
?>
<h4>4. Soal tipe basis sama dengan power to power rule</h4>
$$(<?php echo $bil1 ?>^{<?php echo $pn1 ?>})^{<?php echo $pn2 ?>} = $$
<?php
$opt1 = powerRule($bil1, $pn1, $pn2, $var);
$opt2 = quotientRule($bil1, $pn1, $pn2, $var);
$opt3 = productRule($bil1, $pn1, $pn2, $var);
$opt4 = powerMCRule($bil1, $pn1, $pn2, $var);
$opt5 = powerMCRule2($bil1, $pn1, $pn2, $var);
/*shuffleOpt($bil1, $bil2, $bil3, $opt1, $opt2, $opt3, $opt4, $opt5);*/
?>
<h4>5. Soal tipe basis sama dengan kombinasi antar rule</h4>
<?php
if($var=='int'){
//variablenya harus alphabet
$bil1 = array('p', 'q', 'r');
$bil1 = $bil1[array_rand($bil1)];
}
?>
$${\left(<?php echo $bil1 ?>^{<?php echo $pn1 ?>} \over <?php echo $bil1 ?>^{<?php echo $pn2 ?>} \right)^{<?php echo $pn3 ?>}} \times {<?php echo $bil1 ?>^{<?php echo $pn4 ?>} \over (<?php echo $bil1 ?>^{<?php echo $pn5 ?>})^{<?php echo $pn6 ?>}} = $$
<?php
$opt1 = combinationRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt2 = combinationMCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt3 = combinationMCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt4 = combinationMCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt5 = combinationMCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
?>
$${<?php echo $bil1 ?>^{<?php echo $pn1 ?>}} \times {\left(<?php echo $bil1 ?>^{<?php echo $pn2 ?>} \over <?php echo $bil1 ?>^{<?php echo $pn3 ?>} \right)^{<?php echo $pn4 ?>}} \times {(<?php echo $bil1 ?>^{<?php echo $pn5 ?>})^{<?php echo $pn6 ?>}} = $$
<?php
$opt1 = combination2Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt2 = combination2MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt3 = combination2MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt4 = combination2MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt5 = combination2MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
?>
$${\left(<?php echo $bil1 ?>^{<?php echo $pn1 ?>} \over (<?php echo $bil1 ?>^{<?php echo $pn2 ?>})^{<?php echo $pn3 ?>} \right)^{<?php echo $pn4 ?>}} \times {<?php echo $bil1 ?>^{<?php echo $pn5 ?>}} = $$
<?php
$opt1 = combination3Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt2 = combination3MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt3 = combination3MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt4 = combination3MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt5 = combination3MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
?>
$${\left({<?php echo $bil1 ?>^{<?php echo $pn1 ?>} \times <?php echo $bil1 ?>^{<?php echo $pn2 ?>}} \over (<?php echo $bil1 ?>^{<?php echo $pn3 ?>})^{<?php echo $pn4 ?>} \right)^{<?php echo $pn5 ?>}} = $$
<?php
$opt1 = combination4Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt2 = combination4MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt3 = combination4MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt4 = combination4MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
$opt5 = combination4MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6);
?>
</body>
</html>
<?php
//prosedure benar product rule untuk eksponen dasar basis sama
function productRule($bil1, $pn1, $pn2, $var){
$pn = $pn1+$pn2;
identifyPowerForm($bil1, $pn);
// return $pn;
}
//prosedure salah/miskonsepsi product rule untuk eksponen dasar basis sama
function productMCRule($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1+$bil1;
}else{
$bil1 = "2".$bil1;
}
$pn = $pn1+$pn2;
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure miskonsepsi product rule 2 untuk eksponen dasar basis sama
function productMCRule2($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1*$bil1;
}else{
$bil1 = $bil1;
}
$pn = $pn1*$pn2;
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure miskonsepsi product rule 3 untuk eksponen dasar basis sama
//mirip dengan mc1 jika pangkatnya bernilai nol
function productMCRule3($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1*$bil1;
}else{
$bil1 = $bil1.$bil1;
}
$pn = $pn1+$pn2;
/*if($pn == 0){
$pn = abs($pn1)+abs($pn2);
identifyPowerForm($bil1, $pn);
}else{
identifyPowerForm($bil1, $pn);
}*/
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure benar quotient rule untuk eksponen dasar basis sama
function quotientRule($bil1, $pn1, $pn2, $var){
$pn = $pn1-$pn2;
identifyPowerForm($bil1, $pn);
// return $pn;
}
//prosedure miskonsepsi quotient rule untuk eksponen dasar basis sama
function quotientMCRule($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = 0-$bil1;
}else{
$bil1 = "-".$bil1;
}
$pn = abs($pn1)-$pn2;
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure miskonsepsi quotient rule 2 untuk eksponen dasar basis sama
function quotientMCRule2($bil1, $pn1, $pn2, $var){
//dibulatkan pangkatnya
$pn = $pn1/$pn2;
$pn = round($pn, 5);
identifyPowerForm($bil1, $pn);
// return $pn;
}
//prosedure miskonsepsi quotient rule 3 untuk eksponen dasar basis sama
//tidak berlaku (mirip dengan jawaban benar) jika pangkatnya bernilai 0
function quotientMCRule3($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1/$bil1;
}else{
// $bil1 = "1".$bil1;
$bil1 = "1";
}
$pn = $pn1-$pn2;
/*if($pn == 0){
$pn = $pn1/$pn2;
$pn = round($pn, 5);
identifyPowerForm($bil1, $pn);
}else{
identifyPowerForm($bil1, $pn);
}*/
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure benar power to power rule untuk eksponen dasar basis sama
function powerRule($bil1, $pn1, $pn2, $var){
$pn = $pn1*$pn2;
identifyPowerForm($bil1, $pn);
// return $pn;
}
//prosedure miskonsepsi power to power rule untuk eksponen dasar basis sama
function powerMCRule($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1*$pn2;
}else{
$bil1 = $pn2.$bil1;
}
$pn = $pn1;
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
//prosedure miskonsepsi power to power rule 2 untuk eksponen dasar basis sama
function powerMCRule2($bil1, $pn1, $pn2, $var){
if($var == 'int'){
$bil1 = $bil1*$pn2;
}else{
$bil1 = $pn2.$bil1;
}
$pn = $pn1*$pn2;
identifyPowerForm($bil1, $pn);
// return array($bil1, $pn);
}
function powerIden($bil, $pn){
$bil = pow($bil, $pn);
return $bil;
}
function powerIdenMC($bil, $pn){
identifyPowerMCForm($bil, $pn);
}
function powerIdenMC2($bil, $pn){
$temp = $pn+1;
$pn = $bil;
$bil = $temp;
identifyPowerMCForm($bil, $pn);
}
function powerIdenMC3($bil, $pn){
$pn = $pn+1;
$bil = pow($bil, $pn);
return $bil;
// identifyPowerForm($bil, $pn);
}
function powerIdenMC4($bil, $pn){
$pn = $pn+2;
$bil = pow($bil, $pn);
return $bil;
// identifyPowerForm($bil, $pn);
}
//prosedure benar identifikasi pangkat minus/zero/biasa (konversi pangkat)
function identifyPowerForm($bil1, $pn){
//jika pangkat minus, maka 1/pangkat absolute
if($pn<0){
$pn = abs($pn);
?>
$$1 \over <?php echo $bil1 ?>^{<?php echo $pn ?>}$$
<?php
//jika pangkat 0, maka 1
}elseif($pn==0){
?>
$$1$$
<?php
//jika pangkat biasa
}else{
?>
$${<?php echo $bil1 ?>^{<?php echo $pn ?>}}$$
<?php
// $rss = '\result';
// echo $rss;
}
}
function identifyPowerMCForm($bil1, $pn){
//jika pangkat minus, maka 1/pangkat absolute
if($pn<0){
$pn = abs($pn);
$bil1 = pow($bil1, $pn);
?>
$$-<?php echo $bil1 ?>$$
<?php
//jika pangkat 0, maka 1
}elseif($pn==0){
?>
$$0$$
<?php
//jika pangkat biasa
}else{
$bil1 = $bil1*$pn;
// $bil1 = pow($bil1, $pn);
?>
$${<?php echo $bil1 ?>}$$
<?php
// $rss = '\result';
// echo $rss;
}
}
function combinationRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn1 = $pn1*$pn3; //harusnya pake fungsi power rule
$pn2 = $pn2*$pn3;
$pn_a = $pn1-$pn2; //harusnya pake fungsi quotient rule
$pn5 = $pn5*$pn6;
$pn_b = $pn4-$pn5;
$pn = $pn_a + $pn_b; //harusnya pake fungsi product rule
identifyPowerForm($bil1, $pn);
}
//kalau siswa pilih kombinasi ini, maka miskonsepsinya ditambah quotient rule
function combinationMCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn1 = $pn1*$pn3;
$pn2 = $pn2*$pn3;
$pn_a = $pn1/$pn2; //harusnya pake fungsi quotient mc rule
$pn5 = $pn5*$pn6;
$pn_b = $pn4/$pn5;
$pn = $pn_a + $pn_b;
identifyPowerForm($bil1, $pn);
}
//kalau siswa pilih kombinasi ini, maka miskonsepsinya ditambah product rule
function combinationMCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn1 = $pn1*$pn3;
$pn2 = $pn2*$pn3;
$pn_a = $pn1-$pn2;
$pn5 = $pn5*$pn6;
$pn_b = $pn4-$pn5;
$pn = $pn_a * $pn_b;
identifyPowerForm($bil1, $pn);
}
//kalau siswa pilih kombinasi ini, maka miskonsepsinya ditambah power rule
function combinationMCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn1 = $pn1+$pn3;
$pn2 = $pn2+$pn3;
$pn_a = $pn1-$pn2;
$pn5 = $pn5+$pn6;
$pn_b = $pn4-$pn5;
$pn = $pn_a + $pn_b;
identifyPowerForm($bil1, $pn);
}
//kalau siswa pilih kombinasi ini, maka miskonsepsinya ditambah quotient rule, power rule dan product rule
function combinationMCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn1 = $pn1+$pn3;
$pn2 = $pn2+$pn3;
if($pn2==0) $pn2 = 1; //pembaginya tidak boleh 0
$pn_a = $pn1/$pn2;
$pn5 = $pn5+$pn6;
if($pn5==0) $pn5 = 1;
$pn_b = $pn4/$pn5;
$pn = $pn_a * $pn_b;
identifyPowerForm($bil1, $pn);
}
function combination2Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn4;
$pn3 = $pn3*$pn4;
$pn_a = $pn2-$pn3;
$pn_a = $pn1+$pn_a;
$pn_b = $pn5*$pn6;
$pn = $pn_a+$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination2MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn4;
$pn3 = $pn3*$pn4;
$pn_a = $pn2/$pn3;
$pn_a = $pn1+$pn_a;
$pn_b = $pn5*$pn6;
$pn = $pn_a+$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination2MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn4;
$pn3 = $pn3*$pn4;
$pn_a = $pn2-$pn3;
$pn_a = $pn1*$pn_a;
$pn_b = $pn5*$pn6;
$pn = $pn_a*$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination2MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2+$pn4;
$pn3 = $pn3+$pn4;
$pn_a = $pn2-$pn3;
$pn_a = $pn1+$pn_a;
$pn_b = $pn5+$pn6;
$pn = $pn_a+$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination2MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2+$pn4;
$pn3 = $pn3+$pn4;
if($pn3==0) $pn3 = 1;
$pn_a = $pn2/$pn3;
$pn_a = $pn1*$pn_a;
$pn_b = $pn5+$pn6;
$pn = $pn_a*$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination3Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn3;
$pn_a = $pn1*$pn4;
$pn_b = $pn2*$pn4;
$pn = $pn_a-$pn_b;
$pn = $pn+$pn5;
identifyPowerForm($bil1, $pn);
}
function combination3MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn3;
$pn_a = $pn1*$pn4;
$pn_b = $pn2*$pn4;
$pn = $pn_a/$pn_b;
$pn = $pn+$pn5;
identifyPowerForm($bil1, $pn);
}
function combination3MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2*$pn3;
$pn_a = $pn1*$pn4;
$pn_b = $pn2*$pn4;
$pn = $pn_a-$pn_b;
$pn = $pn*$pn5;
identifyPowerForm($bil1, $pn);
}
function combination3MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2+$pn3;
$pn_a = $pn1+$pn4;
$pn_b = $pn2+$pn4;
$pn = $pn_a-$pn_b;
$pn = $pn+$pn5;
identifyPowerForm($bil1, $pn);
}
function combination3MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn2 = $pn2+$pn3;
$pn_a = $pn1+$pn4;
$pn_b = $pn2+$pn4;
if($pn_b==0) $pn_b = 1;
$pn = $pn_a/$pn_b;
$pn = $pn*$pn5;
identifyPowerForm($bil1, $pn);
}
function combination4Rule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn_a = $pn1+$pn2;
$pn_b = $pn3*$pn4;
$pn_a = $pn_a*$pn5;
$pn_b = $pn_b*$pn5;
$pn = $pn_a-$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination4MCRule($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn_a = $pn1+$pn2;
$pn_b = $pn3*$pn4;
$pn_a = $pn_a*$pn5;
$pn_b = $pn_b*$pn5;
$pn = $pn_a/$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination4MCRule2($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn_a = $pn1*$pn2;
$pn_b = $pn3*$pn4;
$pn_a = $pn_a*$pn5;
$pn_b = $pn_b*$pn5;
$pn = $pn_a-$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination4MCRule3($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn_a = $pn1+$pn2;
$pn_b = $pn3+$pn4;
$pn_a = $pn_a+$pn5;
$pn_b = $pn_b+$pn5;
$pn = $pn_a-$pn_b;
identifyPowerForm($bil1, $pn);
}
function combination4MCRule4($bil1, $pn1, $pn2, $pn3, $pn4, $pn5, $pn6){
$pn_a = $pn1*$pn2;
$pn_b = $pn3+$pn4;
$pn_a = $pn_a+$pn5;
$pn_b = $pn_b+$pn5;
if($pn_b==0) $pn_b = 1;
$pn = $pn_a/$pn_b;
identifyPowerForm($bil1, $pn);
}
?>