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

Solution:

Exponents are very important concepts that have many applications. They are used in writing a large number in compact form. Exponent is the number of times a specific number is multiplied by itself.

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.

Therefore, the value of 16 to the power of 1 over 4 is 2.

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

Summary:

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