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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. $\newline$ $\frac{1}{5^{42}}$

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Negative exponents

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Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

\newline

\frac{1}{5^{42}}

Identify Base and Exponent: Identify the base and the exponent in the expression $5^{-42}$ . In this expression, $5$ is the base and $-42$ is the exponent. Base: $5$ Exponent: $-42$
Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression with a positive exponent. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ for any nonzero base $a$ and any integer $m$ . $\newline$ Therefore, $5^{-42}$ can be rewritten as $\frac{1}{5^{42}}$ .

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