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Popular >

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

Solution

simplify

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

Solution

8 x^{3} y^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

2 \cdot 4 = 8

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

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Frequently Asked Questions (FAQ)

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