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Popular >

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

Solution

simplify

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

Solution

10 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

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