# How do you simplify 8^2 / 8^4?

##### 2 Answers
May 2, 2018

$\frac{1}{8} ^ 2 \mathmr{and} {8}^{-} 2$

#### Explanation:

if you are dividing like terms with powers then you subtract the powers

${x}^{a} / {x}^{b} = {x}^{a - b}$

so 2-4=-2

If you imagine $\frac{8 \times 8}{8 \times 8 \times 8 \times 8}$ then you can cancel two of

the 8s on the top and bottom, leaving two 8s on the bottom.

May 2, 2018

$\frac{1}{64}$

#### Explanation:

${8}^{2} / {8}^{4}$ is basically ${8}^{2} \cdot {8}^{-} 4$
Using power law.
${8}^{2} \cdot {8}^{-} 4$=${8}^{2 - 4}$
=${8}^{-} 2$
=$\frac{1}{8} ^ 2$
=$\frac{1}{64}$