How do you simplify #(4w^3z^2)/( 5w^2)#?

2 Answers
Apr 15, 2016

Answer:

#0.8wz^2#

Explanation:

This fraction can be split up into different parts to make it easier to work with,

#(4w^3z^2)/(5w^2) = 4/5 * w^3/w^2 * z^2/1#

which are easier to simplify. You can check you've split it up right by multiplying the tops together and the bottoms together and you should get the original fraction.

#4/5 = 0.8#

#w^3/w^2 = w^(3-2) = w^1 = w# (using laws of indices)

and #z^2/1 = z^2#.

Putting these back together, you get

#(4w^3z^2)/(5w^2) = 0.8wz^2#

Apr 15, 2016

Answer:

#(4wz^2)/5#

Explanation:

As a general rule, if a question is presented to me in a particular format I assume that the answer is meant to be in the same format unless instructed otherwise.

Given:#" "(4w^3z^2)/(5w^2)#

Splitting (partitioning) the fraction (rational expression)

#4/5xxw^3/w^2xxz^2" " =" " 4/5xxwxxz^2#

Putting it back together

#(4wz)/5#