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Which is equal to 192\frac{1}{9^2}?\newlineChoices:\newline(A) (9)2-(-9)^2\newline(B) 929^{-2}\newline(C) 92-9^2\newline(D) 192-\frac{1}{9^{-2}}

Full solution

Q. Which is equal to 192\frac{1}{9^2}?\newlineChoices:\newline(A) (9)2-(-9)^2\newline(B) 929^{-2}\newline(C) 92-9^2\newline(D) 192-\frac{1}{9^{-2}}
  1. Understand expression: Understand the expression 1/921/9^2.\newlineRewrite 1/921/9^2 using negative exponents.\newline1/92=921/9^2 = 9^{-2}
  2. Rewrite using negative exponents: Match the rewritten expression with the given choices.\newline192=92\frac{1}{9^2} = 9^{-2} matches with Choice (B) 929^{-2}.

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