rewrite the following without an exponent. 10^(-2)

Explanation:

Step1: Recall negative - exponent rule

A negative exponent $a^{-n}=\frac{1}{a^{n}}$. For $10^{-2}$, we have $a = 10$ and $n = 2$. $10^{-2}=\frac{1}{10^{2}}$

Step2: Calculate $10^{2}$

$10^{2}=10\times10 = 100$. So, $\frac{1}{10^{2}}=\frac{1}{100}$

Answer:

$\frac{1}{100}$