Question

What is the quotient of (15a^(4)b^(3))/(12a^(2)b)? Assume that the denominator does not equal zero.

Answer 1

Given:

`(15a^(4)b^(3))/(12a^(2)b)`

To find the quotient:

Let us write the given in the factored form.

`(15a^(4)b^(3))/(12a^(2)b)=(3*5* a^4* b^3)/(3*4* a^2* b)`

On simplification we get,

`\begin{gathered} =(5)/(4)a^(4-2)b^(3-1) \\ =(5)/(4)a^2b^2 \end{gathered}`

Hence, the answer is,

`(5)/(4)a^2b^2`