Which expression is equivalent to 7^5 * 6^5? Choices: (A)1/42^5 (B)42^25 (C)42^5 (D)42^10

Recognize operation: Step 1: Recognize the operation between 7^5 and 6^5. Since both terms are raised to the same power (5), we can combine them under one exponent. 7^5 * 6^5 = (7*6)^5 = 42^5 Combine terms: Step 2: Match the result with the given choices. From the calculation, we have 42^5. Looking at the choices: (A) 1/42^5 (B) 42^25 (C) 42^5 (D) 42^10 The correct match is (C) 42^5

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Which expression is equivalent to $7^5 \times 6^5$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{42^5}$ $\newline$ (B) $42^{25}$ $\newline$ (C) $42^5$ $\newline$ (D) $42^{10}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

7^5 \times 6^5

\newline

Choices:

\newline

(A)

\frac{1}{42^5}

\newline

(B)

42^{25}

\newline

(C)

42^5

\newline

(D)

42^{10}

Recognize operation: Step $1$ : Recognize the operation between $7^5$ and $6^5$ . $\newline$ Since both terms are raised to the same power ( $5$ ), we can combine them under one exponent. $\newline$ $7^5 \times 6^5 = (7\times6)^5 = 42^5$
Combine terms: Step $2$ : Match the result with the given choices. $\newline$ From the calculation, we have $42^5$ . $\newline$ Looking at the choices: $\newline$ (A) $\frac{1}{42^5}$ $\newline$ (B) $42^{25}$ $\newline$ (C) $42^5$ $\newline$ (D) $42^{10}$ $\newline$ The correct match is (C) $42^5$