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Popular >

simplify (5x^3y)(2xy)

Solution

simplify

(5 x^{3} y) (2 x y)

Solution

10 x^{4} y^{2}

Solution steps

(5 x^{3} y) (2 x y)

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

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

Add the numbers:

3 + 1 = 4

= 5 y \cdot 2 x^{4} y

Apply exponent rule:

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

yy = y^{1 + 1}

= 5 \cdot 2 x^{4} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 5 \cdot 2 x^{4} y^{2}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{4} y^{2}

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Frequently Asked Questions (FAQ)

What is (5x^3y)(2xy) ?
The solution to (5x^3y)(2xy) is 10x^4y^2