Question

rewrite using a positive exponent. $7^{-10}$ options: $7^{10}$, $-70$, $\frac{1}{7^{-10}}$, $\frac{1}{7^{10}}$

Explanation:

Step1: Recall the negative exponent rule

The rule for negative exponents is \( a^{-n}=\frac{1}{a^{n}} \) where \( a
eq0 \) and \( n \) is a positive integer.

Step2: Apply the rule to \( 7^{-10} \)

Using the rule \( a^{-n}=\frac{1}{a^{n}} \) with \( a = 7 \) and \( n=10 \), we get \( 7^{-10}=\frac{1}{7^{10}} \).

Answer:

\(\frac{1}{7^{10}}\) (corresponding to the option \( \boldsymbol{\frac{1}{7^{10}}} \))