How do you simplify $(-2x^2y)^3(5xy^3)^2$ ?

Question

2090 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-01T16:27:54

$-200x^8y^9$

$(-2x^2y)^color(red)3(5xy^3)^color(blue)2$

First, use the exponent rule $(x^a)^b = x^(ab)$

$((-2)^color(red)3x^(2*color(red)3)y^(1*color(red)3))(5^color(blue)2x^(1*color(blue)2)y^(3*color(blue)2))$

Simplify.

$(-8x^6y^3)(25x^2y^6)$

Multiply the coefficients $-8$ and $25$

$-200(x^color(red)6y^color(blue)3)(x^color(red)2y^color(blue)6)$

Next, use the exponent rule $x^a *x^b = x^(ab)$

$-200x^((color(red)(6+2)))y^((color(blue)(3+6)))$

$-200x^8y^9$

How do you simplify (-2x^2y)^3(5xy^3)^2 (-2x^2y)^3(5xy^3)^2?