Evaluate the left hand side to find the value of a in the equation in simplest form. \frac{x^{^(4)/(3) } }{x^{^(2)/(3) } } = x^(a)

Question

Evaluate the left hand side to find the value of a in the equation in simplest form.


`\frac{x^{^(4)/(3) } }{x^{^(2)/(3) } } = x^(a)`

Answer 1

`x^(2)`

Explanation:

LHS (left hand side)

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

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

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

`x^(4+2/3)`

`x^(6/3)`

`x^(2)`