Question

How do you multiply and simplify `\frac { 2x ^ { - 1} z ^ { 3} \cdot - 2x y ^ { 4} z ^ { 3} } { ( 2x ^ { 0} z ^ { - 4} ) ^ { 2} }`?

Answer 1

`-y^4z^14`

Explanation:

`(2x^-1z^3*-2xy^4z^3)/(2x^0z^-4)^2`

`:.=(-4x^(-1+1)y^4z^(3+3))/(4z^-8)`

`:.=(-cancel4^1x^0y^4z^(6+8))/cancel4^1`

`:.=-1*1y^4z^14`

`:.=-y^4z^14`