SOLUTION: What is the simplified/expanded form of 16 to the -2/3 power? I know that if it was a non-negative exponent, the answer would just be cube root of (16²). But since the negative si

Question 1194006: What is the simplified/expanded form of 16 to the -2/3 power? I know that if it was a non-negative exponent, the answer would just be cube root of (16²). But since the negative sign means it will be inversed (meaning become a fraction), what is the numerator and what is the denominator?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
What is the simplified/expanded form of 16 to the -2/3 power?
I know that if it was a non-negative exponent,
the answer would just be cube root of (16²).
But since the negative sign means it will be inversed (meaning become a fraction),
what is the numerator and what is the denominator?
~~~~~~~~~~~~~~~~~~~

As you know,  16^(2/3)  =  = .


The sign minus, " - " in the degree index,  16^(-2/3)  leads this number to the denominator, so

    16^(-2/3) = .



If you want, you may calculate it using your calculator, or you may transform it further 

    16^(-2/3) =  =  = 


and then apply your calculator to this formula.

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