Question

How do you use the laws of exponents to simplify the expression `(-2x^2y)^3(5xy^3)^2`?

Answer 1

`-200x^8y^9`

Explanation:

`(x^a)^b = x^(a" x "b)`

So,

`-8x^6y^3 " x "25x^2y^6`

`x^a " x " x^b = x^(a + b)`

`-200x^8y^9`