document.write( "Question 703686: Simplify (3x^2y)^3 \n" ); document.write( "

Algebra.Com's Answer #433648 by Simnepi(216) $\"\"$ $\"About$

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The rules of indices says that if you have a number raised to a power in a bracket and a power outside the bracket, the number stays the same and you multiply the indices.
\n" ); document.write( "Eg,
\n" ); document.write( " $\"%284x%5E3%29%5E5\"$ = $\"4x%5E15\"$
\n" ); document.write( "we just multiply the power 3 inside the bracket and the power 5 outside the bracket
\n" ); document.write( "So in your problem $\"%283x%5E%282y%29%29%5E3\"$ we multiply the power 2y and the power 3 together
\n" ); document.write( "3 times 2y = 6y
\n" ); document.write( "giving
\n" ); document.write( " $\"3x%5E%286y%29\"$ \n" ); document.write( "

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