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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline15315\frac{1}{53^{15}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline15315\frac{1}{53^{15}}
  1. Understand expression: Understand the expression 53−1553^{-15}. The expression 53−1553^{-15} has a base of 5353 and a negative exponent of −15-15. Base: 5353 Exponent: −15-15 We need to rewrite this expression as a fraction with a positive exponent.
  2. Apply negative exponent rule: Apply the negative exponent rule.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}, where aa is the base and mm is the positive exponent.\newlineSo, we can rewrite 53−1553^{-15} as 15315\frac{1}{53^{15}}.

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