Question

Simplify open parentheses x to the 1 half power close parentheses to the 1 sixth power

Answer 1

Hello there, hope I can help.

I assume you mean $\left(x^{\frac{1}{2}}\right)^{\frac{1}{6}}$

With this, let us begin

$\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc}, \mathrm{\:assuming\:}a\ge \:0 \ \textgreater \ x^{\frac{1}{2}\cdot \frac{1}{6}}$

$\frac{1}{2}\cdot \frac{1}{6} \ \textgreater \ \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \ \frac{1\cdot \:1}{2\cdot \:6} \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a$
$\frac{1}{2\cdot \:6} \ \textgreater \ \frac{1}{12} \ \textgreater \ x^{\frac{1}{12}}$

Hope this helps!

Answer 2

x to the 1/12 power is the answer