Simplify.

Question

(4/5) to the power of -3

Answer 1

To simplify (4/5) to the power of -3, we can first invert the fraction and make the exponent positive:
(4/5)^-3 = (5/4)^3

Then, we can raise the fraction to the third power:
(5/4)^3 = (5^3)/(4^3) = 125/64

So, (4/5) to the power of -3 simplifies to 125/64.