document.write( "Question 1095542: \"Write in simplest form\"\r
\n" ); document.write( "\n" ); document.write( "(32*7√x^5)^(-1/5)\r
\n" ); document.write( "\n" ); document.write( "The 7 is the index number \n" ); document.write( "

Algebra.Com's Answer #710065 by greenestamps(13200) $\"\"$ $\"About$

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Rewrite the 32 as 2 to the 5th power; and rewrite the 7th root as a fractional power:

\n" ); document.write( " $\"%28%282%29%5E5%2A%28x%29%5E%285%2F7%29%29%5E%28-1%2F5%29\"$

\n" ); document.write( "Then use the power-of-a-power rule of exponents:
\n" ); document.write( " $\"%282%29%5E%28-1%29%2A%28x%29%5E%28-1%2F7%29\"$

\n" ); document.write( "Then if \"simplest form\" means no negative exponents:
\n" ); document.write( " $\"1%2F%28%282%29%5Ex%2A%28x%29%5E%281%2F7%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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