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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline176−6\frac{1}{76^{-6}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline176−6\frac{1}{76^{-6}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 76−676^{-6}.
    Base: 7676
    Exponent: −6-6
    The negative exponent indicates that the base should be taken as the reciprocal when converting to 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, 76−676^{-6} can be rewritten as 1766.\frac{1}{76^6}.

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