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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1513\frac{1}{5^{13}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1513\frac{1}{5^{13}}
  1. Identify base and exponent: Identify the base and the exponent in the expression 5−135^{-13}. In 5−135^{-13}, 55 is the base raised to the exponent −13-13. Base: 55 Exponent: −13-13
  2. Apply negative exponent rule: Apply the negative exponent rule to rewrite the expression with a positive exponent.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m} for any nonzero base aa and any integer mm.\newlineTherefore, 5−135^{-13} can be rewritten as 1513\frac{1}{5^{13}}.
  3. Write final expression: Write the final expression as a fraction with a positive exponent.\newlineThe final expression is 1513\frac{1}{5^{13}}, which is already in the form of a fraction with a positive exponent.

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