Question

Exponent of x?
Exponent of y?

Answer 1

`x^(33)`

Explanation:

`(x^8y^(-26))/(x^(14)y^(-5) * x^(-39)y^(-21)) =`

A negative exponent in the numerator is a positive exponent in the denominator.

A negative exponent in the denominator is a positive exponent in the numerator.

`= (x^8y^(5)x^(39)y^(21))/(x^(14)y^(26))`

`= (x^(8 + 39) y^(5 + 21))/(x^(14)y^(26))`

`= (x^(47) y^(26))/(x^(14)y^(26))`

`= x^(47 - 14) y^(26 - 26)`

`= x^(33) y^(1)`

`= x^(33)`