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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline180−4\frac{1}{80^{-4}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline180−4\frac{1}{80^{-4}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 80−480^{-4}. In 80−480^{-4}, 8080 is the base raised to the exponent −4-4. Base: 8080 Exponent: −4-4
  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, 80−480^{-4} can be rewritten as 1804.\frac{1}{80^4}.
  3. Write Final Expression: Write the final expression as a fraction with a positive exponent.\newlineThe final expression is 1804\frac{1}{{80}^{4}}.

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