You can put this solution on YOUR website! Okay, let's start at the beginning!
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.
so a problem like (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
So, looking at your problem
we need to find the 5th root of 32, which is 2.
Then raise this to the power 3, giving 8!
The negative power indicates the reciprocal of the number so giving a final answer as
