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Popular >

expand 4(1/2)^3(-3a)

Solution

expand

4 (\frac{1}{2})^{3} (- 3 a)

Solution

- \frac{3 a}{2}

Solution steps

4 (\frac{1}{2})^{3} (- 3 a)

Remove parentheses:

(- a) = - a

= - 4 (\frac{1}{2})^{3} \cdot 3 a

(\frac{1}{2})^{3} = \frac{1}{2 ^{3}}

= - 4 \cdot 3 \cdot \frac{1}{2 ^{3}} a

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot 4 \cdot 3 a}{2 ^{3}}

Multiply the numbers:

1 \cdot 4 \cdot 3 = 12

= - \frac{12 a}{2 ^{3}}

Cancel

\frac{12 a}{2 ^{3}} : \frac{3 a}{2}

= - \frac{3 a}{2}

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Frequently Asked Questions (FAQ)

What is expand 4(1/2)^3(-3a) ?
The solution to expand 4(1/2)^3(-3a) is -(3a)/2