Select all the expressions that are equivalent to (7^1)^-1. Multi-select Choices: (A)1/7 (B)7^0 (C)1/7^-1 (D)7^-1

Question

Select all the expressions that are equivalent to (7^1)^-1.   Multi-select Choices: (A)1/7 (B)7^0 (C)1/7^-1 (D)7^-1

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Simplify Exponent: Simplify the expression (7^1)^-1. When an exponent is raised to another exponent, we multiply the exponents. Since 7^1 is simply 7, we have: (7^1)^-1 = 7^(1 * -1) = 7^-1Compare to Choices: Compare the simplified expression to the choices. We have determined that (7^1)^-1 is equivalent to 7^-1. Now we need to see which of the choices are equivalent to 7^-1.  (A) 1/7 is the same as 7^-1 because a negative exponent indicates the reciprocal of the base raised to the positive exponent. (B) 7^0 is not equivalent to 7^-1 because any non-zero number raised to the power of 0 is 1. (C) 1/7^-1 is equivalent to 7 because the negative exponent in the denominator moves the base to the numerator and makes the exponent positive. (D) 7^-1 is clearly equivalent to 7^-1 by definition.Select Correct Expressions: Select all the correct expressions. From our comparison in Step 2, we can see that the expressions equivalent to (7^1)^-1 are: (A) 1/7 (D) 7^-1  Choices (B) and (C) are not equivalent to (7^1)^-1.

Select all the expressions that are equivalent to $(7^1)^{-1}$ . $\newline$ Multi-select Choices: $\newline$ (A) $\frac{1}{7}$ $\newline$ (B) $7^0$ $\newline$ (C) $\frac{1}{7^{-1}}$ $\newline$ (D) $7^{-1}$

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Select all the expressions that are equivalent to (71)−1(7^1)^{-1}(71)−1.\newlineMulti-select Choices:\newline(A) 17\frac{1}{7}71​\newline(B) 707^070\newline(C) 17−1\frac{1}{7^{-1}}7−11​\newline(D) 7−17^{-1}7−1

Select all the expressions that are equivalent to $(7^1)^{-1}$ . $\newline$ Multi-select Choices: $\newline$ (A) $\frac{1}{7}$ $\newline$ (B) $7^0$ $\newline$ (C) $\frac{1}{7^{-1}}$ $\newline$ (D) $7^{-1}$