Question

Simplify each expression. Assume that all variables are positive. (81^ 1/4)^ 4

Answer 1

The simplification of the expression (81^ 1/4)^ 4  is 81.

Step-by-step explanation:

(a^m)^n = a^(m$\times$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 $\times$ 4)

(81^ 1/4)^ 4 = 81^(1)

The simplification of the expression is 81.