How do you divide 2a^4b^3diva^2b?

2 Answers
Apr 11, 2015

2a^4b^3diva^2b

= (2a^4b^3)/(a^2*b)

To make the calculations easier, we group the same coefficients together.

= 2(a^4/a^2)*((b^3)/b)

In general, color(blue)(a^m/a^n = a^(m-n)

= 2*a^(4-2)*b^(3-1)

color(green)( = 2*a^2*b^2

Apr 11, 2015

2a^4b^3diva^2b
or
(2a^4b^3)/(a^2b)
can be written as
2/1 * a^4/a^2 * b^3/b

using the principle that x^m/x^n = x^(m-n)

this can be written as
2 * a^2 * b^2
or just

2a^2b^2