[1-{1-(1-a^4)^-1}^-1]^(-1/4) is equal to

Question

[1-{1-(1-a⁴)^-1}^-1]^\(-\frac14\) is equal to

(a) a⁴ 

(b) a² 

(c) a 

(d) \(\frac1a\)

Answer 1

(c) a

Given exp. 

= \(\big(\frac{1}{a^4}\big)^{-\frac14}\)= (a^-4)^\(-\frac14\) = a¹ = a.