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Select all the expressions that are equivalent to (75)1(7^5)^1.\newlineMulti-select Choices:\newline(A) 175\frac{1}{7^5}\newline(B) 175\frac{1}{7^{-5}}\newline(C) 757^5\newline(D) 767^6

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Q. Select all the expressions that are equivalent to (75)1(7^5)^1.\newlineMulti-select Choices:\newline(A) 175\frac{1}{7^5}\newline(B) 175\frac{1}{7^{-5}}\newline(C) 757^5\newline(D) 767^6
  1. Simplify Expression: Simplify the expression (75)1(7^5)^1.\newlineCalculation: (75)1=7(51)=75(7^5)^1 = 7^{(5*1)} = 7^5
  2. Compare to Choices: Compare the simplified expression to each choice.\newlineCalculation: \newline(A) 17575\frac{1}{7^5} \neq 7^5\newline(B) 175=75\frac{1}{7^{-5}} = 7^5 (since 1xn=xn\frac{1}{x^{-n}} = x^n)\newline(C) 75=757^5 = 7^5\newline(D) 76757^6 \neq 7^5

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