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Select all the expressions that are equivalent to (52)1(5^{-2})^{1}.\newlineMulti-select Choices:\newline(A) 151\frac{1}{5^{-1}}\newline(B) 152\frac{1}{5^{-2}}\newline(C) 152\frac{1}{5^{2}}\newline(D) 515^{-1}

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Q. Select all the expressions that are equivalent to (52)1(5^{-2})^{1}.\newlineMulti-select Choices:\newline(A) 151\frac{1}{5^{-1}}\newline(B) 152\frac{1}{5^{-2}}\newline(C) 152\frac{1}{5^{2}}\newline(D) 515^{-1}
  1. Simplify Expression: Simplify the expression (52)1(5^{-2})^{1}.\newlineCalculation: (52)1=52(5^{-2})^{1} = 5^{-2}
  2. Compare with Choices: Compare the simplified expression 525^{-2} with each choice.\newlineCalculation: \newline(A) 151=5\frac{1}{5^{-1}} = 5\newline(B) 152=52=25\frac{1}{5^{-2}} = 5^2 = 25\newline(C) 152=125\frac{1}{5^2} = \frac{1}{25}\newline(D) 51=155^{-1} = \frac{1}{5}

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