Question

evaluate. write your answer as a fraction or whole number withou
$10^{-2}=\square$
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Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is \(a^{-n}=\frac{1}{a^{n}}\) (where \(a
eq0\) and \(n\) is a positive integer). For \(10^{-2}\), we apply this rule, so \(10^{-2}=\frac{1}{10^{2}}\).

Step2: Calculate \(10^{2}\)

We know that \(10^{2}=10\times10 = 100\). So \(\frac{1}{10^{2}}=\frac{1}{100}\).

Answer:

\(\frac{1}{100}\)