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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1667\frac{1}{66^7}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1667\frac{1}{66^7}
  1. Understand the expression: Understand the given expression.\newlineThe given expression is 1667\frac{1}{66^7}. We need to rewrite this expression as a whole number with a negative exponent without evaluating it.
  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 to the given expression, we rewrite 1667\frac{1}{66^7} as 66−766^{-7}.
  3. Check final expression: Check the final expression.\newlineThe final expression is 66−766^{-7}. This is a whole number (6666) with a negative exponent (−7-7), which is what the question prompt asked for.

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