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Popular >

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

Solution

simplify

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

Solution

8 x^{4} y^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{4} y^{2}

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Frequently Asked Questions (FAQ)

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