Question

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

Answer 1

`(x^8y^(-26))/(x^(14)y^(-5))[x^(-36)y^(-21)]`

We will apply these following power rule


`x^m*x^n = x^(m+n)`

`x^m/x^n=x^(m-n)`


`[ (x^8)/(x^(14))][ (y^(-26))/(y^(-5))][x^(-39)y^(-21)]`

`[x^(8-14)][y^(-26-5)][x^(-39)y^(-21)]`

`x^(-6)y^(-21)[x^(-39)y^(-21)]`

`[x^(-6-39)][y^(-21-21)]`

`x^(-45)y^(-42)`