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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{4^3}$

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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}{4^3}

Identify base and exponent: Identify the base and the exponent in the given expression $\frac{1}{4^3}$ . The base is $4$ , and the exponent is $3$ . The expression is in the form of a fraction where $4^3$ is in the denominator.
Apply negative exponent rule: Apply the negative exponent rule to rewrite the expression. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . To write $\frac{1}{4^3}$ as a whole number with a negative exponent, we can apply this rule in reverse, which gives us $4^{-3}$ .
Check final expression: Check the final expression to ensure it matches the required format. $\newline$ The final expression $4^{-3}$ is a whole number with a negative exponent, which is what was asked for in the question prompt.

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