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Popular >

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

Solution

simplify

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

Solution

10 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 + 3 = 5

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

Multiply the numbers:

2 \cdot 5 = 10

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

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Frequently Asked Questions (FAQ)

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