Which expressions are equivalent to 7*7*7*7*7*7 ? Choose 2 answers: A (7^(8))/(7^(2)) B 7^(6)*7^(1) c (7^(2))^(3) D (7^(12))/(7^(2))

Understand given expression: Understand the given expression. The given expression is 7*7*7*7*7*7, which is 7 raised to the power of 6, or 7^6.Analyze option A: Analyze option A. Option A is (7^8)/(7^2). To determine if this is equivalent to 7^6, we apply the rule of exponents for division. (7^8)/(7^2) = 7^(8-2) = 7^6.Analyze option B: Analyze option B. Option B is 7^6*7^1. To determine if this is equivalent to 7^6, we apply the rule of exponents for multiplication. 7^6*7^1 = 7^(6+1) = 7^7, which is not equivalent to 7^6.Analyze option C: Analyze option C. Option C is (7^2)^3. To determine if this is equivalent to 7^6, we apply the rule of exponents for powers raised to powers. (7^2)^3 = 7^(2*3) = 7^6.Analyze option D: Analyze option D. Option D is (7^12)/(7^2). To determine if this is equivalent to 7^6, we apply the rule of exponents for division. (7^12)/(7^2) = 7^(12-2) = 7^10, which is not equivalent to 7^6.

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Which expressions are equivalent to
7*7*7*7*7*7 ?
Choose
2 answers:
A
(7^(8))/(7^(2))
B
7^(6)*7^(1)
c
(7^(2))^(3)
D
(7^(12))/(7^(2))

Which expressions are equivalent to $\newline$ $7 \times 7 \times 7 \times 7 \times 7 \times 7$ ? $\newline$ Choose $\newline$ $2$ answers: $\newline$ A $\newline$ $\frac{7^{8}}{7^{2}}$ $\newline$ B $\newline$ $7^{6} \times 7^{1}$ $\newline$ C $\newline$ $(7^{2})^{3}$ $\newline$ D $\newline$ $\frac{7^{12}}{7^{2}}$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Which expressions are equivalent to

\newline

7 \times 7 \times 7 \times 7 \times 7 \times 7

\newline

Choose

\newline

2

answers:

\newline

\newline

\frac{7^{8}}{7^{2}}

\newline

\newline

7^{6} \times 7^{1}

\newline

\newline

(7^{2})^{3}

\newline

\newline

\frac{7^{12}}{7^{2}}

Understand given expression: Understand the given expression. $\newline$ The given expression is $7*7*7*7*7*7$ , which is $7$ raised to the power of $6$ , or $7^6$ .
Analyze option A: Analyze option A. $\newline$ Option A is $(7^8)/(7^2)$ . To determine if this is equivalent to $7^6$ , we apply the rule of exponents for division. $\newline$ $(7^8)/(7^2) = 7^{(8-2)} = 7^6$ .
Analyze option B: Analyze option B. $\newline$ Option B is $7^6\times7^1$ . To determine if this is equivalent to $7^6$ , we apply the rule of exponents for multiplication. $\newline$ $7^6\times7^1 = 7^{6+1} = 7^7$ , which is not equivalent to $7^6$ .
Analyze option C: Analyze option C. $\newline$ Option C is 7^2)^3\. To determine if this is equivalent to \$7^6, we apply the rule of exponents for powers raised to powers. $\newline$ $(7^2)^3 = 7^{(2*3)} = 7^6$ .
Analyze option D: Analyze option D. $\newline$ Option D is $(7^{12})/(7^{2})$ . To determine if this is equivalent to $7^{6}$ , we apply the rule of exponents for division. $\newline$ $(7^{12})/(7^{2}) = 7^{(12-2)} = 7^{10}$ , which is not equivalent to $7^{6}$ .