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)

Question

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 original expression: Understand the original expression. The original expression is 6*6*6*6*6, which is 6 raised to the power of 5, or 6^5.Evaluate option A: Evaluate option A. Option A is (6^2)^3. According to the rule of exponents, (a^m)^n = a^(m*n). So, (6^2)^3 = 6^(2*3) = 6^6, which is not equal to 6^5.Evaluate option B: Evaluate option B. Option B is 2^5 * 3^5. Since 6 is the product of 2 and 3, we can express 6^5 as (2*3)^5. Using the distributive property of exponents over multiplication, (2*3)^5 = 2^5 * 3^5. Therefore, option B is equivalent to 6^5.Evaluate option C: Evaluate option C. Option C is (6^6)/(6^1). According to the rule of exponents for division, a^m / a^n = a^(m-n). So, (6^6)/(6^1) = 6^(6-1) = 6^5, which is equal to the original expression.Evaluate option D: Evaluate option D. Option D is 3^2 * 2^3. This is not equivalent to 6^5 because 3^2 * 2^3 = 9 * 8 = 72, which is not in the form of a single base raised to a single exponent and does not equal 6 raised to any power.

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) $3^{2} \times 2^{3}$