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Popular >

simplify 2x(1/2 x^2)

Solution

simplify

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

Solution

x^{3}

Solution steps

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

Apply exponent rule:

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

x x^{2} = x^{1 + 2}

= 2 \cdot \frac{1}{2} x^{1 + 2}

Add the numbers:

1 + 2 = 3

= 2 \cdot \frac{1}{2} x^{3}

Multiply fractions:

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

= \frac{1 \cdot 2 x ^{3}}{2}

Cancel the common factor:

2

= 1 \cdot x^{3}

Multiply:

1 \cdot x^{3} = x^{3}

= x^{3}

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Frequently Asked Questions (FAQ)

What is 2x(1/2 x^2) ?
The solution to 2x(1/2 x^2) is x^3