# How do you simplify (2^4)^2 /( 2 •2^0)?

Jun 17, 2016

${2}^{7}$

#### Explanation:

use exponent rule
${\left({2}^{4}\right)}^{2} = {2}^{8}$
${2}^{0} = 1$
${2}^{a} / {2}^{b} = {2}^{a - b}$
clearly
${2}^{8} / 2 = {2}^{7}$

Jun 17, 2016

It is possible to calculate this without finding the actual numbers , but by using laws of indices.

In the numerator, multiply the indices.
In the denominator, anything to a power of 0 is equal to 1. (except 0)

${2}^{8} / \left(2 \times 1\right)$

Subtract the indices of like bases..(All 2)

${2}^{8 - 1} = {2}^{7} = 128$
${2}^{7} = 128$