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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{72^{92}}$

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Negative exponents

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Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

\newline

\frac{1}{72^{92}}

Identify Base and Exponent: Identify the base and the exponent in the given expression $\frac{1}{72^{92}}$ . In $\frac{1}{72^{92}}$ , $72$ is the base raised to the exponent $92$ , and the entire expression is in the denominator, indicating a negative exponent for the reciprocal. Base: $72$ Exponent: $92$
Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression. $\newline$ Negative exponent rule: $a^{-m} = \frac{1}{a^m}$ $\newline$ So, to write $\frac{1}{72^{92}}$ as a whole number with a negative exponent, we apply the rule in reverse: $\newline$ $\frac{1}{72^{92}} = 72^{-92}$

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