Which expressions are equivalent to 7^(-2) × 7^(6) ? Choose 1 answer: (A) (7^(2))/(7^(-2)) (B) (7^(6))/(7^(-2)) (C) 7^(-12) (D) (7^(2))^(2)

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Apply exponent rule for multiplying powers: Apply the exponent rule for multiplying powers with the same base. When multiplying powers with the same base, you add the exponents. 7^(-2) * 7^(6) = 7^(-2 + 6) Calculate the sum of the exponents. -2 + 6 = 4 So, 7^(-2) * 7^(6) = 7^(4)Calculate sum of exponents: Check each answer choice to see if it simplifies to 7^(4). A) (7^(2))/(7^(-2)) Apply the exponent rule for dividing powers with the same base. When dividing powers with the same base, you subtract the exponents. (7^(2))/(7^(-2)) = 7^(2 - (-2)) Calculate the difference of the exponents. 2 - (-2) = 2 + 2 = 4 So, (7^(2))/(7^(-2)) = 7^(4)Check answer choice A: Check the next answer choice. B) (7^(6))/(7^(-2)) Apply the exponent rule for dividing powers with the same base. (7^(6))/(7^(-2)) = 7^(6 - (-2)) Calculate the difference of the exponents. 6 - (-2) = 6 + 2 = 8 So, (7^(6))/(7^(-2)) = 7^(8) This is not equivalent to 7^(4).Check answer choice B: Check the next answer choice. C) 7^(-12) This is simply a power of 7 with an exponent of -12. There is no need to apply any exponent rules here. 7^(-12) is not equivalent to 7^(4) because the exponents are different.Check answer choice C: Check the last answer choice. D) (7^(2))^(2) Apply the exponent rule for raising a power to a power. When raising a power to a power, you multiply the exponents. (7^(2))^(2) = 7^(2 * 2) Calculate the product of the exponents. 2 * 2 = 4 So, (7^(2))^(2) = 7^(4)

Which expressions are equivalent to $7^{-2} \cdot 7^{6}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{7^{2}}{7^{-2}}$ $\newline$ (B) $\frac{7^{6}}{7^{-2}}$ $\newline$ (C) $7^{-12}$ $\newline$ (D) $(7^{2})^{2}$

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Which expressions are equivalent to 7−2⋅767^{-2} \cdot 7^{6}7−2⋅76 ?\newlineChoose 111 answer:\newline(A) 727−2\frac{7^{2}}{7^{-2}}7−272​\newline(B) 767−2\frac{7^{6}}{7^{-2}}7−276​\newline(C) 7−127^{-12}7−12\newline(D) (72)2(7^{2})^{2}(72)2

Which expressions are equivalent to $7^{-2} \cdot 7^{6}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{7^{2}}{7^{-2}}$ $\newline$ (B) $\frac{7^{6}}{7^{-2}}$ $\newline$ (C) $7^{-12}$ $\newline$ (D) $(7^{2})^{2}$