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Popular >

simplify (3xy^2)(4x^3y)

Solution

simplify

(3 x y^{2}) (4 x^{3} y)

Solution

12 x^{4} y^{3}

Solution steps

(3 x y^{2}) (4 x^{3} y)

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= 3 y^{2} \cdot 4 x^{4} y

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

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

Add the numbers:

2 + 1 = 3

= 3 \cdot 4 x^{4} y^{3}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{4} y^{3}

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Frequently Asked Questions (FAQ)

What is (3xy^2)(4x^3y) ?
The solution to (3xy^2)(4x^3y) is 12x^4y^3