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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline189\frac{1}{8^9}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline189\frac{1}{8^9}
  1. Understand the expression: Understand the expression 8−98^{-9}. The base is 88 and it is raised to the exponent −9-9. Base: 88 Exponent: −9-9
  2. Apply negative exponent rule: Apply the negative exponent rule to rewrite the expression with a positive exponent.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m} for any nonzero base aa and any integer mm.\newlineTherefore, 8−98^{-9} can be rewritten as 189\frac{1}{8^9}.

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