# What is the value of this expression 4^2times4^-3?

Dec 31, 2016

$\frac{1}{4}$

#### Explanation:

using the rules of powers

${a}^{m} \times {a}^{n} = {a}^{m + n}$

we ahve here

4^2xx4^(-3)=4^(2+(-3)

$= {4}^{2 - 3} = {4}^{- 1} = \frac{1}{4}$