Question

I'm not sure what the correct answers is, heh..please help me

Answer 1

Given expression is

`\sqrt[4]{2}=2^{(1)/(4)}`

Among the given options the simplication that applies the power rule is

`(2^{(1)/(4)})^4=2^{(1)/(4)}.2^{(1)/(4)}.2^{(1)/(4)}.2^{(1)/(4)}`

This can be simplified as

`2^{(1)/(4)+(1)/(4)+(1)/(4)+(1)/(4)}=2^{(4)/(4)}=2`

Hence the corresponding simplification is D.