Question

(64/125) to the power of -2/3

Answer 1

As the exponent is negative, we can rewrite the expression as (125/64) raised to the power 2/3.

So, (125/64) raised to the power 2/3 can also be written as [(5/4) raised to the power 3] raised to the power 2/3. The exponents will multiply and the final exponent will be 2.

Hence the answer will be (5/4) squared.
Therefore the answer is (24/16).