Final answer:
To simplify the expression (5^0 + 6^0 + 7^0 + 8^0 )^(1/2), evaluate each base raised to the power of 0, add the numbers, and find the square root of the sum to get the answer 2.
Step-by-step explanation:
To simplify the expression (5^0 + 6^0 + 7^0 + 8^0 )^(1/2), we need to first evaluate each base raised to the power of 0. Any number raised to the power of 0 is equal to 1. So, we can rewrite the expression as (1 + 1 + 1 + 1)^(1/2). Next, we add the numbers inside the parentheses, which gives us 4^(1/2). Finally, we evaluate 4^(1/2) as the square root of 4, which is 2. Therefore, the simplified expression is 2.
Learn more about Simplifying Exponential Expressions