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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1391\frac{1}{3^{91}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1391\frac{1}{3^{91}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 3−913^{-91}. In 3−913^{-91}, 33 is the base raised to the exponent −91-91. Base: 33 Exponent: −91-91
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to write the expression as a fraction with a positive exponent.\newlineNegative exponent rule: a−m=1ama^{-m} = \frac{1}{a^m}\newlineSo, 3−913^{-91} can be written as 1391\frac{1}{3^{91}}.
  3. Ensure Correct Form: Ensure that the expression is not evaluated and is left as a fraction with a positive exponent.\newlineThe expression 1391\frac{1}{3^{91}} is already in the correct form and does not need to be simplified further.

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