Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.0 Junior Find the answer

When simplified, $(-\frac{1}{125})^{-2/3}$ becomes:

Pick one

Solution

To remove the negative exponent, flip the fraction of the base. This results in $(-125)^{2/3}$ .
Then, cube root $-125$ and and square the result to get the answer of $25$ , or answer choice $\boxed{\textbf{(C)}}$ .

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