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. Exponent is the number of times a specific number is multiplied by itself.
Answer: The value of 16 to the power of 1 over 4 is 2.
Let's understand the solution in detail.
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, 161/4. To do that, we follow the steps below:
Let y = 161/4
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.