Which expressions are equivalent to 6*6*6*6*6 ? Choose 2 answers: A (6^(2))^(3) B 2^(5)*3^(5) c (6^(6))/(6^(1)) D 3^(2)*2^(3)

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Which expressions are equivalent to  6*6*6*6*6 ? Choose 2 answers: A  (6^(2))^(3) B  2^(5)*3^(5) c  (6^(6))/(6^(1)) D  3^(2)*2^(3)

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Understand Given Expression: Understand the given expression. The given expression is 6*6*6*6*6, which is 6 raised to the power of 5, or 6^5.Evaluate Choices: Evaluate each choice to see if it is equivalent to 6^5. Start with choice A: (6^(2))^(3). Using the rule of exponents (a^(m))^n = a^(m*n), we calculate (6^(2))^(3) = 6^(2*3) = 6^6, which is not equal to 6^5.Choice A Evaluation: Move on to choice B: 2^(5)*3^(5). Using the rule of exponents for multiplication with the same exponent (a*b)^n = a^n * b^n, we can reverse this to see if 2^5 * 3^5 is equivalent to 6^5. Since 6 = 2*3, we can write 6^5 as (2*3)^5 = 2^5 * 3^5. Therefore, choice B is equivalent to 6^5.Choice B Evaluation: Evaluate choice C: (6^(6))/(6^(1)). Using the rule of exponents for division a^(m)/a^(n) = a^(m-n), we calculate (6^(6))/(6^(1)) = 6^(6-1) = 6^5. Therefore, choice C is equivalent to 6^5.Choice C Evaluation: Evaluate choice D: 3^(2)*2^(3). This choice represents the multiplication of different bases raised to different powers. It cannot be simplified to a single base raised to a single power without additional factors. Therefore, it cannot be equivalent to 6^5.Choice D Evaluation: Select the correct choices. From the evaluations, we have determined that choices B and C are equivalent to 6^5.

Which expressions are equivalent to $\newline$ $6 \times 6 \times 6 \times 6 \times 6$ ? $\newline$ Choose $2$ answers: $\newline$ A) $(6^{2})^{3}$ $\newline$ B) $2^{5} \times 3^{5}$ $\newline$ C) $\frac{6^{6}}{6^{1}}$ $\newline$ D) $3^{2} \times 2^{3}$

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Which expressions are equivalent to $\newline$ $6 \times 6 \times 6 \times 6 \times 6$ ? $\newline$ Choose $2$ answers: $\newline$ A) $(6^{2})^{3}$ $\newline$ B) $2^{5} \times 3^{5}$ $\newline$ C) $\frac{6^{6}}{6^{1}}$ $\newline$ D) $3^{2} \times 2^{3}$