Problem

Use the zero or negative exponent rule to simplify the expression. \[ 7^{-2} \] \[ 7^{-2}= \] (Type an integer or a simplified fraction.)

Solution

Step 1 :Rewrite the expression \(7^{-2}\) as \(\frac{1}{7^{2}}\) according to the negative exponent rule.

Step 2 :Calculate the denominator \(7^{2}\) to get 49.

Step 3 :So, the simplified form of \(7^{-2}\) is \(\frac{1}{49}\).

Step 4 :\(\boxed{\frac{1}{49}}\) is the final answer.

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Source: https://solvelyapp.com/problems/a4xENMBGu9/

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