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Write the expression as a whole number with a negative exponent. Do not evaluate the expression. $\newline$ $\frac{1}{49^6}$

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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}{49^6}

Identify Base and Exponent: Identify the base and the exponent in the given expression $\frac{1}{49^6}$ . $\newline$ The base is $49$ and it is raised to the exponent $6$ . The entire expression is under the division by $1$ . $\newline$ Base: $49$ $\newline$ Exponent: $6$
Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . Therefore, we can write $\frac{1}{49^6}$ as $49^{-6}$ .
Check Expression Format: Check the expression to ensure it is written as a whole number with a negative exponent. $\newline$ The expression $49^{-6}$ is now correctly written as a whole number with a negative exponent.

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