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Popular >

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

Solution

simplify

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

Solution

10 x^{3} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

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

Add the numbers:

3 + 1 = 4

= 5 \cdot 2 x^{3} y^{4}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{3} y^{4}

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Frequently Asked Questions (FAQ)

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