Question

02.02) simplify 64 to the negative 1 third power . (1 point) −4 negative 1 over 4 1 over 4 4

Answer 1

I took the test it’s 1/4

Answer 2

64^(-1/3)

First step: Remove the negative sign of the exponent by switching the numerator and denominator.
(1/64)^1/3

When an exponent is in a fraction form, the numerator is the power the base will be raised to while the denominator is the root.

Second step: find the cube root.
(∛1/64)^1

(∛1/∛64)^1

Third: raise to the power.
(1/4)^1

1/4 or 0.25

64 to the negative 1 third power is 1 OVER 4.