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Popular >

simplify (1/2 v^2)v^2

Solution

simplify

(\frac{1}{2} v^{2}) v^{2}

Solution

\frac{v ^{4}}{2}

Solution steps

(\frac{1}{2} v^{2}) v^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

v^{2} v^{2} = v^{2 + 2}

= \frac{1}{2} v^{2 + 2}

Add the numbers:

2 + 2 = 4

= \frac{1}{2} v^{4}

Multiply fractions:

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

= \frac{1 \cdot v ^{4}}{2}

Multiply:

1 \cdot v^{4} = v^{4}

= \frac{v ^{4}}{2}

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Frequently Asked Questions (FAQ)

What is (1/2 v^2)v^2 ?
The solution to (1/2 v^2)v^2 is (v^4)/2