Question

How do you simplify `3u ^ { 9} \cdot 4w ^ { - 2} w ^ { 2} v ^ { - 7} u \cdot 4v ^ { 2}`?

Answer 1

`=> (48u^10)/(v^5)`

Explanation:

`3u ^ { 9} * 4w ^ { - 2} w ^ { 2} v ^ { - 7} u * 4v ^ { 2}`

`= (3*4*4)(u^9*u)(w^-2*w^2)(v^-7*v^2)`

`= 48 u^(9+1) w^(-2+2) v^(-7+2)`

`=48u^10v^-5`

`= (48u^10)/(v^5)`