Question

Need help give you a good rating pls.

Answer 1

Answer:

x^(1/2)

Step-by-step explanation:

For this, we need to understand exponent rules.  This one is like this, "A power to a power, you multiply the exponents".  This is simply, because this expression would be equivalent to 3 base terms:

(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))

And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following

(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)

Hence, this expression simplifies to x^(1/2).

Cheers.

Answer 2

Answer:

$\boxed{ {x}^{ \frac{1}{2} } }$

Option D is the correct option.

Step-by-step explanation:

$\mathrm{ ({x}^{ \frac{1}{6} } ) ^{3} }$

$\mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}$

$\mathrm{ = {(x)}^{ \frac{1}{6} \times 3 } }$

$\mathrm{ = {x}^{ \frac{1}{2} } }$

Hope I helped!

Best regards!