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Which is equal to 125\frac{1}{2^5}?\newlineChoices:\newline(A) 25-2^5\newline(B) (2)5-(-2)^5\newline(C) (2)5(-2)^{-5}\newline(D) 252^{-5}

Full solution

Q. Which is equal to 125\frac{1}{2^5}?\newlineChoices:\newline(A) 25-2^5\newline(B) (2)5-(-2)^5\newline(C) (2)5(-2)^{-5}\newline(D) 252^{-5}
  1. Understand expression: Step 11: Understand the expression 125\frac{1}{2^5}.\newlineRewrite 125\frac{1}{2^5} using negative exponents.\newline125=25\frac{1}{2^5} = 2^{-5}
  2. Match with choices: Step 22: Match the rewritten expression with the given choices.\newlineFrom the choices:\newline(A) 25-2^5\newline(B) (2)5-(-2)^5\newline(C) (2)5(-2)^{-5}\newline(D) 252^{-5}\newlineThe correct match is (D) 252^{-5}

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