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Popular >

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

Solution

simplify

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

Solution

8 x^{3} y^{2}

Solution steps

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{3} y^{2}

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Frequently Asked Questions (FAQ)

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