Question

Plz help this is due tomorrow!

Answer 1

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

Option B is the correct option

Explanation:

`\sqrt[4]{ {x}^{ (2)/(3) } }`

Using
`\sqrt[n]{ {a}^(m) } = {a}^{ (m)/(n) }`transform the expression:

`( {x}^{ (2)/(3) } ) ^{ (1)/(4) }`

Simplify the expression by multiplying exponents

`{x}^{ (2 * 1)/(3 * 4) }`

Calculate the product:

`{x}^{ (2)/(12) }`

Reduce the numbers with G.C.F 2

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

Hope this helps...

Good luck on your assignment...

Answer 2

B

Explanation:

`\sqrt[4]{x^(2)/(3) }=(x^(2)/(3) )^(1)/(4) =x^(2)/(12)=x^(1)/(6)`

Remember that
`\sqrt[n]{x}` is the same as
`x^(1)/(n)`.

Also, I used the Power of a Power property.