The simplification of the expression (81^ 1/4)^ 4 is 81.
Step-by-step explanation:
(a^m)^n = a^(m[tex]\times[/tex]n) -----------(1)
From the expression (81^ 1/4)^ 4,
a = 81
m = 1/4
n = 4
Substitute the above values in (1),
(81^ 1/4)^ 4 = 81^(1/4 [tex]\times[/tex] 4)
(81^ 1/4)^ 4 = 81^(1)
The simplification of the expression is 81.
