Question

Evaluate the power 4^-3.
a) 64
b) 1/64
c) 1/12
d) 12

Answer 1

Answer:

b) 1/64

Step-by-step explanation:

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

$4^{-3}=\frac{1}{4^3}$

$=\frac{1}{4^3}$

$4^3=64$

$4\times4\times4$

$=16\times 4$

$=64$

$=\frac{1}{64}$