document.write( "Question 160281: Simplify: (3x)^-2 / (3x)^-3 \n" ); document.write( "

Algebra.Com's Answer #118237 by gonzo(654) $\"\"$ $\"About$

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Simplify: $\"%283x%29%5E-2+%2F+%283x%29%5E-3\"$
\n" ); document.write( " $\"3%2Ax%5E-2\"$ is the same as $\"3%2F%28x%5E2%29\"$
\n" ); document.write( " $\"3%2Ax%5E-3\"$ is the same as $\"3%2F%28x%5E3%29\"$
\n" ); document.write( "your original equation then becomes $\"%283%2F%28x%5E2%29%29%2F%283%2F%28x%5E3%29%29\"$
\n" ); document.write( "in order to remove the denominator, multiply numerator and denominator of the equation by $\"x%5E3%2F3\"$
\n" ); document.write( "equation becomes $\"%28%28x%5E3%2F3%29+%2A+%283%2Fx%5E2%29%29%2F%28%28x%5E3%2F3%29%2A%283%2Fx%5E3%29%29\"$
\n" ); document.write( "denominator cancels out and equation becomes $\"%28%28x%5E3%2F3%29+%2A+%283%2Fx%5E2%29%29\"$
\n" ); document.write( "the 3's cancel out and the equation becomes $\"x%5E3%2Fx%5E2\"$ which becomes $\"x%5E%283-2%29\"$ which becomes $\"x%5E1\"$ which becomes $\"x\"$ .
\n" ); document.write( "answer is x
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