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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline18−4\frac{1}{8^{-4}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline18−4\frac{1}{8^{-4}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 8−48^{-4}. In 8−48^{-4}, 88 is the base raised to the exponent −4-4. Base: 88 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, 8−48^{-4} can be rewritten as 184.\frac{1}{8^4}.
  3. Write Final Expression: Write the final expression as a fraction with a positive exponent.\newlineThe final expression is 184\frac{1}{{8}^{4}}.

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