Which expression is equivalent to 7^6 * 2^6? Choices: (A)1/14^6 (B)14^6 (C)14^12 (D)14^36

Recognize bases and exponents: Step 1: Recognize the bases and exponents. We have 7^6 and 2^6, where 7 and 2 are the bases, and both are raised to the power of 6.Apply property of exponents: Step 2: Apply the property of exponents for multiplication (a^m * b^m = (a*b)^m). 7^6 * 2^6 = (7*2)^6 = 14^6.Match with choices: Step 3: Match the result with the given choices. 14^6 corresponds to choice (B).

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Which expression is equivalent to $7^6 \times 2^6$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{14^6}$ $\newline$ (B) $14^6$ $\newline$ (C) $14^{12}$ $\newline$ (D) $14^{36}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

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Q. Which expression is equivalent to

7^6 \times 2^6

\newline

Choices:

\newline

(A)

\frac{1}{14^6}

\newline

(B)

14^6

\newline

(C)

14^{12}

\newline

(D)

14^{36}

Recognize bases and exponents: Step $1$ : Recognize the bases and exponents. $\newline$ We have $7^6$ and $2^6$ , where $7$ and $2$ are the bases, and both are raised to the power of $6$ .
Apply property of exponents: Step $2$ : Apply the property of exponents for multiplication $a^m \times b^m = (a\times b)^m$ . $7^6 \times 2^6 = (7\times 2)^6 = 14^6$ .
Match with choices: Step $3$ : Match the result with the given choices. $\newline$ $14^6$ corresponds to choice (B).