## DESCRIPTION
## Algebra: answers can be entered in any order into answer blanks
## ENDDESCRIPTION

## KEYWORDS('algebra', 'answers can be entered in any order')

## DBsubject('WeBWorK')
## DBchapter('WeBWorK Tutorial')
## DBsection('Fort Lewis Tutorial 2011')
## Date('01/30/2011')
## Author('Paul Pearson')
## Institution('Fort Lewis College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')


##################################
#  Initialization

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"AnswerFormatHelp.pl",
"unorderedAnswer.pl",
);

TEXT(beginproblem());


###################################
# Setup

Context("Numeric")->variables->add(y=>"Real",z=>"Real");

$a = random(2,9,1);

$answer1 = Compute("x^$a");
$answer2 = Compute("y^$a");
$answer3 = Compute("z^$a");


###################################
# Main text

Context()->texStrings;
BEGIN_TEXT
Rewrite the following expression without parentheses.  
Simplify your answer as much as possible, and assume 
that all variables are positive.
$BR
$BR
\( (xyz)^{$a} = \) 
\{ ans_rule(5) \}
\( \cdot \)
\{ ans_rule(5) \}
\( \cdot \)
\{ ans_rule(5) \}
\{ AnswerFormatHelp("formulas") \}
END_TEXT
Context()->normalStrings;


###################################
# Answers

$showPartialCorrectAnswers = 1;

# $showPartialCorrectAnswers = 0;
# install_problem_grader(~~&std_problem_grader);


UNORDERED_ANS( 
$answer1->cmp(), 
$answer2->cmp(), 
$answer3->cmp(),
);


#####################################
#  Solution

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT("MathObject version.");

ENDDOCUMENT();