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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{15^6}$

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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}{15^6}

Identify base and exponent: Identify the base and the exponent in the given expression $\frac{1}{15^6}$ . $\newline$ The base is $15$ and the exponent is $6$ . The expression is in the form of a fraction where $15^6$ 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 $\frac{1}{15^6}$ with a negative exponent, we can apply this rule in reverse, which gives us $15^{-6}$ .
Check expression: Check the expression to ensure it is written as a whole number with a negative exponent. $\newline$ The expression $15^{-6}$ is indeed a whole number ( $15$ ) with a negative exponent ( $-6$ ), and it is equivalent to the original expression $\frac{1}{15^6}$ .

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