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Popular >

simplify 2x(1/2 x^3)

Solution

simplify

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

Solution

x^{4}

Solution steps

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

Apply exponent rule:

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

x x^{3} = x^{1 + 3}

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

Add the numbers:

1 + 3 = 4

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

Multiply fractions:

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

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

Cancel the common factor:

2

= 1 \cdot x^{4}

Multiply:

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

= x^{4}

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Frequently Asked Questions (FAQ)

What is 2x(1/2 x^3) ?
The solution to 2x(1/2 x^3) is x^4