Question

(20 points) 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

`\large\boxed{a.\ -3x^5y^6}`

Explanation:

`-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^na^m=a^(n+m)\\\\=-3x^(2+3)y^(2+4)=-3x^5y^6`