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Popular >

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

Solution

simplify

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

Solution

8 x^{3} y^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{3} y^{3}

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Frequently Asked Questions (FAQ)

What is (4x^2y)(2xy^2) ?
The solution to (4x^2y)(2xy^2) is 8x^3y^3