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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1728\frac{1}{7^{28}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1728\frac{1}{7^{28}}
  1. Identify base and exponent: Identify the base and the exponent in the given expression.\newlineIn 1728\frac{1}{7^{28}}, 77 is the base raised to the exponent 2828, and the entire expression is in the denominator, indicating a negative exponent when rewritten.\newlineBase: 77\newlineExponent: 2828
  2. Apply negative exponent rule: Apply the negative exponent rule to rewrite the expression.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. Therefore, to write 1728\frac{1}{7^{28}} as a whole number with a negative exponent, we apply this rule in reverse.\newline1728\frac{1}{7^{28}} becomes 7−287^{-28}.

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