Question

rewrite
\\(\frac{1}{10,000,000}\\)
as a power of 10.

Explanation:

Step1: Recall negative exponent rule

The negative exponent rule states that $\frac{1}{a^n}=a^{-n}$, and also $10,000,000 = 10^7$ since $10\times10\times10\times10\times10\times10\times10=10^7$.

Step2: Apply the rule to the fraction

We have $\frac{1}{10,000,000}=\frac{1}{10^7}$. Using the negative exponent rule $\frac{1}{a^n}=a^{-n}$ where $a = 10$ and $n = 7$, we get $10^{-7}$.

Answer:

$10^{-7}$