Question

Multiply or divide as indicated. Leave your answer with no factors in the denominator. a^3 b^2/a^-1 b^-3

Answer 1

Explanation:

Recall any base that is raised to a negative power is simply the reciprocal of the base.

i.e
`x^(-1)` =
`(1)/(x)`

Using this knowledge, we can start simplifying the equation (see attached)

Answer 2

`(a^3b^2)/(a^(-1)b^(-3))=a^(4)b^(5)`

Explanation:

Given : Expression
`(a^3b^2)/(a^(-1)b^(-3))`

To find : Multiply or divide as indicated. Leave your answer with no factors in the denominator.

Solution :

We know when two same term are in divide then their power get subtracted.

So,
`(a^m)/(a^n)=a^(m-n)`

Applying in the expression,

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

Solve the power,

`(a^3b^2)/(a^(-1)b^(-3))=a^(3+1)b^(2+3)`

`(a^3b^2)/(a^(-1)b^(-3))=a^(4)b^(5)`

Therefore, The solution is
`(a^3b^2)/(a^(-1)b^(-3))=a^(4)b^(5)`