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Popular >

simplify (xy^2)(2xy^3)

Solution

simplify

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

Solution

2 x^{2} y^{5}

Solution steps

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

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 2 x^{2} y^{5}

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Frequently Asked Questions (FAQ)

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