Question

How do you simplify `\frac { 2r ^ { 4} } { 4r ^ { 2}`?

Answer 1

You simplify using the rule: `color(red)(x^a/x^b = x^(a-b))`

Explanation:

You simplify using the rule: `color(red)(x^a/x^b = x^(a-b))`

`(2r^4)/(4r^2) = 2/4 xx (r^4)/(r^2) = 1/2 xx r^(4-2) = 1/2 xx r^2 = r^2/2`