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evaluate. write you $7^{-2} = \\frac{1}{\\square}$

Question

evaluate. write you
$7^{-2} = \frac{1}{\square}$

Explanation:

Step1: Apply negative exponent rule

A negative exponent means taking the reciprocal of the base raised to the positive exponent: $a^{-n} = \frac{1}{a^n}$
For $7^{-2}$, this gives $\frac{1}{7^2}$

Step2: Calculate positive exponent

Compute $7^2 = 7 \times 7 = 49$
Substitute back: $\frac{1}{7^2} = \frac{1}{49}$

Answer:

$\frac{1}{49}$