Which expression is equivalent to 3^5 * 2^5? Choices: (A)6^10 (B)6^5 (C)6^25 (D)1/6^5

Recognize operation: Step 1: Recognize the operation between 3^5 and 2^5. We are multiplying two powers with different bases but the same exponents.Apply rule for multiplication: Step 2: Apply the rule for multiplying powers with the same exponent. (3^5) * (2^5) = (3*2)^5 = 6^5.Match with choices: Step 3: Match the result with the given choices. 6^5 corresponds to choice (B).

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Which expression is equivalent to $3^5 \times 2^5$ ? $\newline$ Choices: $\newline$ (A) $6^{10}$ $\newline$ (B) $6^5$ $\newline$ (C) $6^{25}$ $\newline$ (D) $\frac{1}{6^5}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions II

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Q. Which expression is equivalent to

3^5 \times 2^5

\newline

Choices:

\newline

(A)

6^{10}

\newline

(B)

6^5

\newline

(C)

6^{25}

\newline

(D)

\frac{1}{6^5}

Recognize operation: Step $1$ : Recognize the operation between $3^5$ and $2^5$ . We are multiplying two powers with different bases but the same exponents.
Apply rule for multiplication: Step $2$ : Apply the rule for multiplying powers with the same exponent. $\newline$ $(3^5) \times (2^5) = (3\times2)^5 = 6^5$ .
Match with choices: Step $3$ : Match the result with the given choices. $6^5$ corresponds to choice (B).