document.write( "Question 703719: Evaluate (32^-3/5)
\n" ); document.write( " Evaluate 32 to the power of negative 3/5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #433649 by Simnepi(216) $\"\"$ $\"About$

You can put this solution on YOUR website!
Okay, let's start at the beginning!
\n" ); document.write( "a fractional power means do 2 things find the root of the denominator and then raise this to the power of the numerator. A negative means write the reciprocal of the number.
\n" ); document.write( "so a problem like $\"8%5E%28-2%2F3%29\"$ (8 to the power negative two thirds) means find the third root (cube root) of 8 (because the denominator of the fraction power is 3), which is 2, then raise this to the power 2, giving us the answer 4. then do the reciprocal giving a final answer of $\"1%2F4\"$
\n" ); document.write( "So, looking at your problem $\"32%5E%28-3%2F5%29\"$
\n" ); document.write( "we need to find the 5th root of 32, which is 2.
\n" ); document.write( "Then raise this to the power 3, giving 8!
\n" ); document.write( "The negative power indicates the reciprocal of the number so giving a final answer as $\"1%2F8\"$ \n" ); document.write( "

\n" );