Question

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

Answer 1

`6x^(4)y^(5)`

Explanation:

According to the law of indices:
`a^mxxa^n=a^(m+n)`

This means that to multiply expressions with the same base, you simply have to add the exponents.

Solution
`(−2x^3y^2)(−3xy^3)`
`=(-2)*(-3)*x^3*x*y^2*y^3`
`=6*x^(3+1)*y^(2+3)`
`=color(blue)(6x^(4)y^(5))`