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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline194−42\frac{1}{94^{-42}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline194−42\frac{1}{94^{-42}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 94−4294^{-42}. In 94−4294^{-42}, 9494 is the base raised to the exponent −42-42. Base: 9494 Exponent: −42-42
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to write the expression as a fraction with a positive exponent.\newlineNegative exponent rule: a−m=1ama^{-m} = \frac{1}{a^m}\newlineSo, 94−4294^{-42} can be written as 19442\frac{1}{94^{42}}.

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