Simplify the following, leaving your answers in positive index form. (a) 3b^(3) x 4b^(5) (b) 3x^(2) y^(3) ÷ 9y^(5)

Question

Simplify the following, leaving your answers in positive index form.

(a) 3
`b^(3)` x 4
`b^(5)`

(b) 3
`x^(2) y^(3)` ÷ 9
`y^(5)`

Answer 1

`(a) 3b^3*4b^5=(3*4)b^(3+5)=12b^8 \\ \\ (b) (3x^2y^3)/(9y^5) = (3x^2y^3)/(3y^3*3y^2) ^(/3y^3)= (x^2)/(3y^2)`

Answer 2

a is 12(b^8)

b is (x^2)/(3(y^2))