Select all the expressions that are equivalent to 6^4/3^4. Multi-select Choices: (A)1/2^-4 (B)2^0 (C)2 (D)1/2^4

Simplify Fraction: First, simplify $ \frac{6^4}{3^4} $ by recognizing that $ \frac{6}{3} = 2 $, so $ \frac{6^4}{3^4} = (2)^4 $. Calculation: $ 2^4 = 16 $.Evaluate Choices: Next, evaluate each choice to see if it equals 16. (A) $ \frac{1}{2^{-4}} $ simplifies to $ 2^4 $ because $ \frac{1}{a^{-b}} = a^b $. Calculation: $ 2^4 = 16 $.Choice (A): (B) $ 2^0 $ simplifies to 1. Calculation: $ 2^0 = 1 $.Choice (B): (C) The value of 2 is just 2, not raised to any power. Calculation: $ 2 = 2 $.Choice (C): (D) $ \frac{1}{2^4} $ simplifies to $ \frac{1}{16} $. Calculation: $ \frac{1}{16} = 0.0625 $.

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Calculus

Find derivatives using the product rule II

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Q. Select all the expressions that are equivalent to

\frac{6^4}{3^4}

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Multi-select Choices:

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(A)

\frac{1}{2^{-4}}

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(B)

2^0

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(C)

2

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(D)

\frac{1}{2^4}

Simplify Fraction: First, simplify $\frac{6^4}{3^4}$ by recognizing that $\frac{6}{3} = 2$ , so $\frac{6^4}{3^4} = (2)^4$ . $\newline$ Calculation: $2^4 = 16$ .
Evaluate Choices: Next, evaluate each choice to see if it equals $16$ . $\newline$ (A) $\frac{1}{2^{-4}}$ simplifies to $2^4$ because $\frac{1}{a^{-b}} = a^b$ . $\newline$ Calculation: $2^4 = 16$ .
Choice (A): (B) $2^0$ simplifies to $1$ . $\newline$ Calculation: $2^0 = 1$ .
Choice (B): (C) The value of $2$ is just $2$ , not raised to any power. $\newline$ Calculation: $2 = 2$ .
Choice (C): (D) $\frac{1}{2^4}$ simplifies to $\frac{1}{16}$ . $\newline$ Calculation: $\frac{1}{16} = 0.0625$ .