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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline16218\frac{1}{62^{18}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline16218\frac{1}{62^{18}}
  1. Identify base and exponent: Identify the base and the exponent in the expression 62−186^{2^{-18}}.
    Base: 6262
    Exponent: −18-18
    The negative exponent indicates that the base should be taken as the reciprocal with a positive exponent.
  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, 62−1862^{-18} can be rewritten as 16218\frac{1}{62^{18}}.

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