Select all the expressions that are equivalent to 12^2/6^2. Multi-select Choices: (A)2^-3/2^-5 (B)2 (C)(2^-2)^-1 (D)2^2

Simplify and Calculate: First, simplify $ \frac{12^2}{6^2} $. Calculate $ 12^2 $ and $ 6^2 $: $ 12^2 = 144 $, $ 6^2 = 36 $. Now, divide $ 144 $ by $ 36 $: $ \frac{144}{36} = 4 $.Evaluate Choices: Next, evaluate each choice to see if it equals 4: (A) $ \frac{2^{-3}}{2^{-5}} $ simplifies to $ 2^{(-3)-(-5)} = 2^2 = 4 $.Choice (A): (B) The value is simply 2, which does not equal 4.Choice (B): (C) $ (2^{-2})^{-1} $ simplifies to $ 2^2 = 4 $.Choice (C): (D) $ 2^2 $ is calculated directly as 4.

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Select all the expressions that are equivalent to $\frac{12^2}{6^2}$ . $\newline$ Multi-select Choices: $\newline$ (A) $\frac{2^{-3}}{2^{-5}}$ $\newline$ (B) $2$ $\newline$ (C) $(2^{-2})^{-1}$ $\newline$ (D) $2^2$

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Math Problems

Algebra 2

Simplify rational expressions

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Q. Select all the expressions that are equivalent to

\frac{12^2}{6^2}

\newline

Multi-select Choices:

\newline

(A)

\frac{2^{-3}}{2^{-5}}

\newline

(B)

2

\newline

(C)

(2^{-2})^{-1}

\newline

(D)

2^2

Simplify and Calculate: First, simplify $\frac{12^2}{6^2}$ . Calculate $12^2$ and $6^2$ : $\newline$ $12^2 = 144$ , $\newline$ $6^2 = 36$ . $\newline$ Now, divide $144$ by $36$ : $\newline$ $\frac{144}{36} = 4$ .
Evaluate Choices: Next, evaluate each choice to see if it equals $4$ : $\newline$ (A) $\frac{2^{-3}}{2^{-5}}$ simplifies to $2^{(-3)-(-5)} = 2^2 = 4$ .
Choice (A): (B) The value is simply $2$ , which does not equal $4$ .
Choice (B): (C) $(2^{-2})^{-1}$ simplifies to $2^2 = 4$ .
Choice (C): (D) $2^2$ is calculated directly as $4$ .