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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. $\newline$ $\frac{1}{3^7}$

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Negative exponents

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Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

\newline

\frac{1}{3^7}

Identify base and exponent: Identify the base and the exponent in the expression $3^{-7}$ . $\newline$ In $3^{-7}$ , $3$ is the base raised to the exponent $-7$ . $\newline$ Base: $3$ $\newline$ Exponent: $-7$
Apply negative exponent rule: Apply the negative exponent rule to write the expression as a fraction with a positive exponent. $\newline$ Negative exponent rule: $a^{-m} = \frac{1}{a^m}$ $\newline$ So, $3^{-7}$ can be written as $\frac{1}{3^7}.$

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