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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{90^2}$

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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}{90^2}

Identify Base and Exponent: Identify the base and the exponent in the given expression $\frac{1}{90^2}$ . In $\frac{1}{90^2}$ , $90$ is the base raised to the exponent $2$ , and the entire expression is in the denominator. Base: $90$ Exponent: $2$
Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression with a negative exponent. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . Therefore, to write $\frac{1}{90^2}$ with a negative exponent, we can express it as $90^{-2}$ .
Check Final Expression: Check the final expression to ensure it matches the required format. $\newline$ The expression $90^{-2}$ is a whole number with a negative exponent, which is what the question prompt asked for.

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