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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline16436\frac{1}{64^{36}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline16436\frac{1}{64^{36}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 64−3664^{-36}. In 64−3664^{-36}, 6464 is the base raised to the exponent −36-36. Base: 6464 Exponent: −36-36
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression with a positive exponent.\newlineNegative exponent rule: a−m=1ama^{-m} = \frac{1}{a^m}\newlineSo, 64−3664^{-36} can be rewritten as 16436\frac{1}{64^{36}}.
  3. Write Final Expression: Write the final expression as a fraction with a positive exponent.\newlineThe final expression is 16436\frac{1}{{64}^{36}}.

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