Evaluate: (4 to the power 0 +4 to the power -1)×2 the power 2

Calculate 4^0: Calculate 4 to the power 0. 4^0 = 1 Calculate 4^-1: Calculate 4 to the power -1. 4^-1 = 1/4 Add results: Add the results from step 1 and step 2. 1 + 1/4 = 1.25 Calculate 2^2: Calculate 2 to the power 2. 2^2 = 4 Multiply results: Multiply the result from step 3 by the result from step 4. 1.25 * 4 = 5

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Evaluate: $(4^{0} + 4^{-1}) \times 2^{2}$

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Math Problems

Grade 7

Powers with negative bases

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Q. Evaluate:

(4^{0} + 4^{-1}) \times 2^{2}

Calculate $4^0$ : Calculate $4$ to the power $0$ . $\newline$ $4^0 = 1$
Calculate $4^{-1}$ : Calculate $4$ to the power $-1$ . $\newline$ $4^{-1} = \frac{1}{4}$
Add results: Add the results from step $1$ and step $2$ . $\newline$ $1 + \frac{1}{4} = 1.25$
Calculate $2^2$ : Calculate $2$ to the power $2$ . $\newline$ $2^2 = 4$
Multiply results: Multiply the result from step $3$ by the result from step $4$ . $\newline$ $1.25 \times 4 = 5$