Question

How do you use laws of exponents to simplify `x^(3/4) * x^(1/3)`?

Answer 1

`=x^color(blue)(13/12)`

Explanation:

`x^(3/4) * x^(1/3)`

• As per property `color(blue)(a^m*a^n=a^(m+n)`

Applying the same to the above expression:

`=x^color(blue)((3/4 + 1/3)`

`=x^color(blue)((9+4)/12)`

`=x^color(blue)((13/12)`