Question

Simplify 64^-1/3 A. -4 B. -1/4 C. 1/4 D. 4

Answer 1

Remember, the numerator of an exponenent represents the root. As well, a negative exponent means to take the reciprocal of the positive exponent ($a^{-b} = \frac{1}{a^{b}}$.

So, $64^{-1/3}$ is equal to $\sqrt[3]{64^{-1}}$ which is 1/4, because 1/4*1/4*1/4 is 1/64 (1/64 cubed root is 1/4).

For example, $a^{b/c} = \sqrt[c]{b^{b}}$

The answer is c.

Answer 2

The answer is C. 1/4

Since the exponent is a negative it wouldn't be 4 it would turn into 1/4