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Popular >

simplify 2xy(5x^2y)

Solution

simplify

2 x y (5 x^{2} y)

Solution

10 x^{3} y^{2}

Solution steps

2 x y (5 x^{2} y)

Apply exponent rule:

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

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

= 2 y \cdot 5 x^{1 + 2} y

Add the numbers:

1 + 2 = 3

= 2 y \cdot 5 x^{3} y

Apply exponent rule:

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

yy = y^{1 + 1}

= 2 \cdot 5 x^{3} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2 \cdot 5 x^{3} y^{2}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{3} y^{2}

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Frequently Asked Questions (FAQ)

What is 2xy(5x^2y) ?
The solution to 2xy(5x^2y) is 10x^3y^2