# What is the value of the expression (8^2)div(8^3)?

Jan 7, 2017

See full evaluation below:

#### Explanation:

First, we can rewrite this problem as:

${8}^{2} / {8}^{3}$

Now, we can use a rule of exponents to simplify this expression:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = \frac{1}{x} ^ \left(\textcolor{b l u e}{b} - \textcolor{red}{a}\right)$

${8}^{2} / {8}^{3} \to \frac{1}{8} ^ \left(3 - 2\right) \to \frac{1}{8} ^ 1 \to \frac{1}{8}$ or $0.125$