Find the value of (16)^3/4

Find the value of (16)^3/4.

Solution:

We know that power is a certain expression that represents the replication of an integer value. Power is also called an exponent. For example, if aⁿ is the value then ‘n’ is the exponent or power, and ‘a’ is the integer.

There are various formulas related to exponents. The one that is required to solve this question is 

[(a^m)ⁿ = a^mn]

Therefore,

(16)^3/4 can be solved as

(16)^3/4 = (2⁴)^3/4

   = 2^(4X3/4)

    = 2³

           = 8

∴ (16)^3/4 = 8