Question

Evaluate the exponent: 4^-3

A) -12
B) 1/64
C) - 1/12
D) - 1/64

Please help!

Answer 1

An negative exponent or power, means that the number elevated to that negative power is one divided by that number raised to the positive same power, that is:

x^-n = 1/x^n
n being a positive number. So in this case we have:
4^-3 = 1/4^3
= 1/(4*4*4)
= 1/64