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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1430\frac{1}{4^{30}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1430\frac{1}{4^{30}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 4−304^{-30}.\newlineBase: 44\newlineExponent: −30-30
  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, 4−304^{-30} can be rewritten as 1430\frac{1}{4^{30}}.
  3. Write Final Expression: Write the final expression as a fraction with a positive exponent.\newlineThe final expression is 1430\frac{1}{4^{30}}.

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