Question

Which expression is equivalent to (25−−√3)14 ?

A.2 2/20


B.2 5/12


C.2 12/5


D.2 3/4

Answer 1

I got it wrong, but here's the answer

Explanation:

Answer 2

`Use\\\\\sqrt[n]{a}=a^{(1)/(n)}\\\\\left(a^m\right)^n=a^(m\cdot n)\\---------------------\\\\\left(\sqrt[3]{2^5}\right)^{(1)/(4)}=\left[\left(2^5\right)^(1)/(3)\right]^(1)/(4)=2^{5\cdot(1)/(3)\cdot(1)/(4)}=\boxed{2^(5)/(12)}\\\\Answer:\ \boxed{\boxed{\big2^{(5)/(12)}}}`