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Which is equal to 159\frac{1}{5^9}?\newlineChoices:\newline(A) 5−95^{-9}\newline(B) (−5)9(-5)^9\newline(C) 15−9\frac{1}{5^{-9}}\newline(D) 595^9

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Full solution

Q. Which is equal to 159\frac{1}{5^9}?\newlineChoices:\newline(A) 5−95^{-9}\newline(B) (−5)9(-5)^9\newline(C) 15−9\frac{1}{5^{-9}}\newline(D) 595^9
  1. Understand expression: Step 11: Understand the expression 1/591/5^9.\newlineRewrite 1/591/5^9 using negative exponents.\newline1/59=5−91 / 5^9 = 5^{-9}
  2. Rewrite using negative exponents: Step 22: Match the rewritten expression with the given choices.\newlineCompare 5−95^{-9} to the choices:\newline(A) 5−95^{-9}\newline(B) (−5)9(-5)^9\newline(C) 15−9\frac{1}{5^{-9}}\newline(D) 595^9\newlineChoice (A) matches exactly with 5−95^{-9}.

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