Questions: (1/2)^3 + 4^(1/2) + (2)^(-1) Qual é o resultado dessa expressão? A 1/8. B 3/6. C 26/16 D 21/8. E 6/2

(1/2)^3 + 4^(1/2) + (2)^(-1) Qual é o resultado dessa expressão? A 1/8. B 3/6. C 26/16 D 21/8. E 6/2
Transcript text: \[ \left(\frac{1}{2}\right)^{3}+4^{\frac{1}{2}}+(2)^{-1} \] Qual é o resultado dessa expressão? A $\frac{1}{8}$. B $\frac{3}{6}$. C $\frac{26}{16}$ D $\frac{21}{8}$. E $\quad \frac{6}{2}$
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Solution

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Solution Steps

To solve the given mathematical expression, we need to evaluate each term separately and then sum them up. The expression consists of three parts: \(\left(\frac{1}{2}\right)^{3}\), \(4^{\frac{1}{2}}\), and \((2)^{-1}\). Calculate each power and then add the results together to find the final value.

Step 1: Calculate \(\left(\frac{1}{2}\right)^{3}\)

To find \(\left(\frac{1}{2}\right)^{3}\), we raise \(\frac{1}{2}\) to the power of 3: \[ \left(\frac{1}{2}\right)^{3} = \frac{1}{8} = 0.125 \]

Step 2: Calculate \(4^{\frac{1}{2}}\)

The expression \(4^{\frac{1}{2}}\) represents the square root of 4: \[ 4^{\frac{1}{2}} = \sqrt{4} = 2.0 \]

Step 3: Calculate \((2)^{-1}\)

The expression \((2)^{-1}\) is the reciprocal of 2: \[ (2)^{-1} = \frac{1}{2} = 0.5 \]

Step 4: Sum the Results

Add the results from the previous steps to find the total: \[ 0.125 + 2.0 + 0.5 = 2.625 \]

Final Answer

The result of the expression is \(\boxed{2.625}\). The correct answer is not listed among the provided options.

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