Question

Simplify the expression.

(the quantity x to the one-sixth power end quantity to the power of 3.)

Answer 1

x 1/2 took the quiz

Answer 2

`√(x)`

Explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power:
`x^{(1)/(6)}`

That to the power of 3:

`(x^{(1)/(6)})^3`

Using exponent rules, since we have a power to a power, the powers multiply, so:

`x^{(1)/(6)\cdot 3}\\\\x^{(3)/(6)}\\\\ x^{(1)/(2)}`

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

`x^{(1)/(2)} = √(x)`

Hope this helped!