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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline11672\frac{1}{16^{72}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline11672\frac{1}{16^{72}}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 11672\frac{1}{16^{72}}. In 11672\frac{1}{16^{72}}, 1616 is the base raised to the exponent 7272, and the entire expression is under the division of 11. Base: 1616 Exponent: 7272
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression.\newlineNegative exponent rule: a−m=1ama^{-m} = \frac{1}{a^m}\newlineWe can rewrite 11672\frac{1}{16^{72}} as 16−7216^{-72} because moving the base 1616 with its exponent 7272 to the numerator changes the exponent to negative.
  3. Write Final Expression: Write the final expression.\newlineThe expression 11672\frac{1}{16^{72}} can be written as 16−7216^{-72} with a negative exponent.

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