Which two expressions are equivalent to each other? Multi-select Choices: (A)7^6 * 7^2 (B)1/7^8 (C)7^11 (D)7^12/7

Simplify Expression (A): Step 1: Simplify expression (A) using the properties of exponents. Calculation: $7^6 \times 7^2 = 7^{6+2} = 7^8$.Simplify Expression (D): Step 2: Simplify expression (D) using the properties of exponents. Calculation: $ \frac{7^{12}}{7} = 7^{12-1} = 7^{11}$.Compare Simplified Results: Step 3: Compare the simplified results from Step 1 and Step 2 with other options. Observation: $7^8$ from (A) matches none of the other choices directly; $7^{11}$ from (D) matches with (C).

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Which two expressions are equivalent to each other? $\newline$ Multi-select Choices: $\newline$ (A) $7^6 \times 7^2$ $\newline$ (B) $\frac{1}{7^8}$ $\newline$ (C) $7^{11}$ $\newline$ (D) $\frac{7^{12}}{7}$

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Math Problems

Algebra 2

Product property of logarithms

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Q. Which two expressions are equivalent to each other?

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Multi-select Choices:

\newline

(A)

7^6 \times 7^2

\newline

(B)

\frac{1}{7^8}

\newline

(C)

7^{11}

\newline

(D)

\frac{7^{12}}{7}

Simplify Expression (A): Step $1$ : Simplify expression (A) using the properties of exponents. $\newline$ Calculation: $7^6 \times 7^2 = 7^{6+2} = 7^8$ .
Simplify Expression (D): Step $2$ : Simplify expression (D) using the properties of exponents. $\newline$ Calculation: $\frac{7^{12}}{7} = 7^{12-1} = 7^{11}$ .
Compare Simplified Results: Step $3$ : Compare the simplified results from Step $1$ and Step $2$ with other options. $\newline$ Observation: $7^8$ from (A) matches none of the other choices directly; $7^{11}$ from (D) matches with (C).