Question

How do you simplify `\frac { x ^ { 6} } { x ^ { \frac { 3} { 2} } }`?

Answer 1

See a solution process below:

Explanation:

First, we can use this rule of exponents to eliminate the denominator:

`x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`x^color(red)(6)/x^color(blue)(3/2) => x^(color(red)(6)-color(blue)(3/2)) => x^((color(red)(2/2 xx 6))-color(blue)(3/2)) => x^(color(red)(12/2)-color(blue)(3/2)) => x^(9/2)`