rewrite \n\\(\\frac{1}{100,000}\\)\nas a power of 10.

Explanation:

Step1: Recall the definition of negative exponents

We know that $a^{-n}=\frac{1}{a^{n}}$ (where $a\neq0$ and $n$ is a positive integer). Also, $100000 = 10^{5}$ since $10\times10\times10\times10\times10=10^{5}$.

Step2: Rewrite the fraction using the power of 10

Given $\frac{1}{100000}$, and since $100000 = 10^{5}$, we can substitute that in. So $\frac{1}{100000}=\frac{1}{10^{5}}$.

Step3: Apply the negative exponent rule

Using the rule $a^{-n}=\frac{1}{a^{n}}$, with $a = 10$ and $n = 5$, we get $\frac{1}{10^{5}}=10^{-5}$.

Answer:

$10^{-5}$