# What is 2 to the third power over 2 to the fifth power?

Jan 30, 2016

${2}^{-} 2 = \frac{1}{4}$

#### Explanation:

For this question use.

 • a^m/a^n = a^(m-n)

so ${2}^{3} / {2}^{5} = {2}^{3 - 5} = {2}^{-} 2$

now ${a}^{-} m = \frac{1}{a} ^ m$

hence ${2}^{-} 2 = \frac{1}{2} ^ 2 = \frac{1}{4}$