# How do you write 10^-1 in decimal form?

Mar 14, 2018

See a solution process below:

#### Explanation:

First, use this rule for exponents to rewrite the expression:

${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

${10}^{\textcolor{red}{- 1}} \implies \frac{1}{10} ^ \textcolor{red}{- - 1} \implies \frac{1}{10} ^ 1$

Then, use this rule of exponents to simplify the denominator:

${a}^{\textcolor{red}{1}} = a$

$\frac{1}{10} ^ \textcolor{red}{1} \implies \frac{1}{10}$

$\frac{1}{10} \implies 1 \text{ tenth } \implies 0.1$