Question

How do you simplify `x^(2/3)/ x^(4/9)`?

Answer 1

`=color(blue)( x^(2/9)`

Explanation:

`x^(2/3)/ x^(4/9)`

note: `color(blue)(a^m/a^n = a^(m-n)`

Applying the above property to exponents of `x`

`= x^((2/3 - 4/9)`

`=x^((6/9 - 4/9)`

`=color(blue)( x^(2/9)`