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Popular >

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

Solution

simplify

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

Solution

2 x^{3} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

= 2 x^{3} y^{3 + 1}

Add the numbers:

3 + 1 = 4

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

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Frequently Asked Questions (FAQ)

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