Question

Simplify the following expression:(6 x^4)(4 y^2) / [ (3 x^2)(16 y) ]
Please help, I don't get this!

Answer 1

(24/48)(x^4/x^2) (y^2/y)

(1/2) x^2 y

Answer 2

just add powers in products, and subtract in divisions:

(6x^4)(4y^2) / [(3x^2)(16y)]
= (6*4)/(3*16) * x^(4-2) * y^(2-1)
= 1/2 x^2 y
= x^2y/2