Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 418: 51

$10^{-1}$

We start with the given expression: $\frac{1}{10}$ We want to determine what power of $10$ is in the denominator. $10=10^1$ We rewrite the expression as $\frac{1}{10^1}$. The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression: $10^{-1}$