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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline175−6\frac{1}{75^{-6}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline175−6\frac{1}{75^{-6}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 75−675^{-6}.\newlineIn this expression, 7575 is the base and −6-6 is the exponent.\newlineBase: 7575\newlineExponent: −6-6
  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}, where aa is the base and mm is the positive exponent.\newlineTherefore, 75−675^{-6} can be rewritten as 1756\frac{1}{75^6}.

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