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Popular >

simplify (6x^2y)(1/2 x^4)

Solution

simplify

(6 x^{2} y) (\frac{1}{2} x^{4})

Solution

3 x^{6} y

Solution steps

(6 x^{2} y) (\frac{1}{2} x^{4})

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= 6 y \frac{1}{2} x^{2 + 4}

Add the numbers:

2 + 4 = 6

= 6 y \frac{1}{2} x^{6}

Multiply fractions:

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

= \frac{1 \cdot 6 y x ^{6}}{2}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 x ^{6} y}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 x^{6} y

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Frequently Asked Questions (FAQ)

What is (6x^2y)(1/2 x^4) ?
The solution to (6x^2y)(1/2 x^4) is 3x^6y