Question

Reduce this algebraic fraction. 36x^5y^8z^10/15x^5y^7z^2

Answer 1

`(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2))` =
`(12)/(5) yz^(8)`

Explanation:

Given expression is:

`(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2))`

Let us divide the numberator and the denominator by the common factor 3
`x^(5)`.

`(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2))` =
`(12y^(8)z^(10))/(5y^(7)z^(2))`

`= (12y^(7)(y)z^(2)(z^(8) ))/(5y^(7)z^(2))`

Cancel out the common factor
`y^(7) z^(2)` on the numerator and the denominator, we get,

`(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2))` =
`(12)/(5) yz^(8)`