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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{89^{78}}$

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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}{89^{78}}

Identify base and exponent: Identify the base and the exponent in the given expression $\frac{1}{89^{78}}$ . In $\frac{1}{89^{78}}$ , $89$ is the base raised to the exponent $78$ , and the entire expression is in the denominator. Base: $89$ Exponent: $78$
Apply negative exponent rule: Apply the negative exponent rule to rewrite the expression with a negative exponent. $\newline$ Negative exponent rule: $a^{-m} = \frac{1}{a^m}$ $\newline$ So, to write $\frac{1}{89^{78}}$ as a whole number with a negative exponent, we can use the rule to get $89^{-78}$ .

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