Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?

To find the value of 16 raised to the power of 1/4, follow these steps:

1. Recognize that raising a number to a fractional power involves both a root and a power. In this case, 1/4 indicates that we need to take the fourth root of 16.
2. Calculate the fourth root of 16. We can express 16 as 2 raised to the power of 4, so we have:
• 16 = 2⁴
3. Now, apply the exponent of 1/4:
• (2⁴)^1/4 = 2^{(4 * 1/4)} = 2¹ = 2
4. Thus, the final answer is:
• 16^1/4 = 2

In conclusion, the value of 16 raised to the power of 1/4 is 2.