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Popular >

simplify (6x^3y)(1/2 xy^4)

Solution

simplify

(6 x^{3} y) (\frac{1}{2} x y^{4})

Solution

3 x^{4} y^{5}

Solution steps

(6 x^{3} y) (\frac{1}{2} x y^{4})

Apply exponent rule:

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

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

= 6 y \frac{1}{2} x^{3 + 1} y^{4}

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

y y^{4} = y^{1 + 4}

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

Add the numbers:

1 + 4 = 5

= 6 \cdot \frac{1}{2} x^{4} y^{5}

Multiply fractions:

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

= \frac{1 \cdot 6 x ^{4} y ^{5}}{2}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 x ^{4} y ^{5}}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 x^{4} y^{5}

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Frequently Asked Questions (FAQ)

What is (6x^3y)(1/2 xy^4) ?
The solution to (6x^3y)(1/2 xy^4) is 3x^4y^5