Question

Please answer and explain!

multiply and simplify -3x^2y^2 * y^4x3
a. -3x^5y^6
b. -3x^6y^2
c. 9x^5y^2
d. -3x ^5y^2

Answer 1

a.
`-3x^(5)y^(6)`

Explanation:

We want to multiply and simplify:

`-3x^2y^2* y^4x^3`

We rearrange the product to obtain:

`-3x^2* x^3* y^2* y^4`

Recall that:

`a^m* a^n=a^(m+n)`

We apply this property to obtain:

`-3x^(2+3)y^(2+4)`

We simplify to obtain:

`-3x^(5)y^(6)`