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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1761\frac{1}{7^{61}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1761\frac{1}{7^{61}}
  1. Identify Given Expression: Identify the given expression and the task.\newlineThe given expression is 1761\frac{1}{7^{61}}, and the task is to rewrite it as a whole number with a negative exponent without evaluating the expression.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. To apply this rule in reverse, we can write 1am\frac{1}{a^m} as a−ma^{-m}.
  3. Rewrite Using Negative Exponent Rule: Rewrite the expression using the negative exponent rule.\newlineUsing the rule from Step 22, we can rewrite 1761\frac{1}{7^{61}} as 7−617^{-61}.

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