Simplify the following expression.?

Question

32a³b²
--------
8ab²

division,

explain your answers

Answer 1

This can be written as:

(32/8) * (a^3/a) * (b^2/b^2)

The rule for dividing exponents is you subract the exponent in the denominator from the one in the numerator.

a^3 / a = a^(3 - 1) = a^2

b^2/b^2 = b^(2 - 2) = b^0 = 1

Therefore, (32/8) * (a^3/a) * (b^2/b^2) =

4a^2

Answer 2

You divide the numbers so...32/8=4 and you subtract your exponents a^3- a= a^2 and b^2-b^2= 0 (so drop the b) and you get
4a to the second power

Answer 3

:) these aren't too bad.. u just have to cancel em out:

think of it like this

32 a * a * a * b * b
________________
8 a * b * b


4a^2

that's ur answer... good luck~