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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1219\frac{1}{21^9}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1219\frac{1}{21^9}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 21−921^{-9}.\newlineBase: 2121\newlineExponent: −9-9\newlineWe need to rewrite the expression with a positive exponent.
  2. Rewrite with Positive Exponent: 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, 21−921^{-9} can be rewritten as 1219.\frac{1}{21^9}.

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