Question

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

Answer 1

x to the 1/12 power is the answer

Answer 2

Hello there, hope I can help.

I assume you mean
`\left(x^{(1)/(2)}\right)^{(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^{(1)/(2)\cdot (1)/(6)}`


`(1)/(2)\cdot (1)/(6) \ \textgreater \ \mathrm{Multiply\:fractions}: (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d) \ \textgreater \ (1\cdot \:1)/(2\cdot \:6) \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a`

`(1)/(2\cdot \:6) \ \textgreater \ (1)/(12) \ \textgreater \ x^{(1)/(12)}`

Hope this helps!