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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline17292\frac{1}{72^{92}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline17292\frac{1}{72^{92}}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 17292\frac{1}{72^{92}}. In 17292\frac{1}{72^{92}}, 7272 is the base raised to the exponent 9292, and the entire expression is in the denominator, indicating a negative exponent for the reciprocal. Base: 7272 Exponent: 9292
  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}\newlineSo, to write 17292\frac{1}{72^{92}} as a whole number with a negative exponent, we apply the rule in reverse:\newline17292=72−92\frac{1}{72^{92}} = 72^{-92}

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