Question

What is the value of the question below ? (16^2)1/4

Answer 1

О A 4

Explanation:

`16^{2^{(1)/(4) } \\`

The fraction exponent indicates that it is a root, in this case fourth root:

`16^{2^{(1)/(4) } \\ = \sqrt[4]{16^(2) } = \sqrt[4]{256} = 4`

Another method:

When you have an exponent of an exponent these multiply:

2 * 1/4 = 2/4 = 1/2

Then:

`16^{2^{(1)/(4) } \\ = 16^{(1)/(2) } = √(16) = 4`

Answer 2

the answer to your problem is 4