Question

rewrite the following without an exponent.
\frac{1}{7^{-2}}

Explanation:

Step1: Recall the negative exponent rule

The negative exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\), which can also be rewritten as \(\frac{1}{a^{-n}} = a^{n}\).

Step2: Apply the rule to the given expression

For the expression \(\frac{1}{7^{-2}}\), using the rule \(\frac{1}{a^{-n}} = a^{n}\) where \(a = 7\) and \(n = 2\), we get \(7^{2}\).

Step3: Calculate \(7^{2}\)

\(7^{2}=7\times7 = 49\).

Answer:

49