# Write the correct steps to find the value of 16 to the power of 1 over 4?

Exponents are very important concepts that have many applications. They are used in writing a large number in compact form.

## Answer: The value of 16 to the power 1 over 4 is 2.

Let's understand the solution in detail.

**Explanation:**

Mathematically we can write 16 to the power of 1 over 4 as (16)^{1/4}

We have to find the fourth root of 16, that is, 16^{1/4}. To do that, we follow the steps below:

Let y = 16^{1/4}

y = √(√16)

So, first, we find the square root of 16, which is equal to 4.

Now, we have y = √4

Now, we find the square root of 4, which is 2.

Hence, we get y = 2.