# How do you simplify 2^4times 2^-1?

##### 1 Answer
Apr 13, 2018

By arranging the equation you will get your answer as 8.

#### Explanation:

Note that ${2}^{-} 1 = \frac{1}{2}$

${2}^{4} \times {2}^{-} 1$

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

$= \frac{{2}^{3} \times 2}{2}$

Get rid of 2s (on the numerator and on the denumerator).

$= {2}^{3}$

Your answer is ${2}^{3} = 8$