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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1662\frac{1}{66^2}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1662\frac{1}{66^2}
  1. Understand Expression: Understand the given expression.\newlineThe given expression is 1662\frac{1}{66^2}. 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. The negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. To apply this rule to the given expression, we rewrite 1662\frac{1}{66^2} as 66−266^{-2}.
  3. Check Final Expression: Check the final expression.\newlineThe final expression is 66−266^{-2}. This is a whole number (6666) with a negative exponent (−2-2), which is what the question prompt asked for.

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