Answer:
8
Step-by-step explanation:
We are asked to find the value of the given exponential expression \(64^{\frac{1}{2}\).
Using exponent property \(a^{\frac{m}{n}}=\sqrt[n]{a^m}\), we can write our given expression as:
\(64^{\frac{1}{2}=\sqrt[2]{64^1}\)
\(64^{\frac{1}{2}=\sqrt[2]{64}\)
We can rewrite \(64\text{ as }8^2\).
\(64^{\frac{1}{2}=\sqrt[2]{8^2}\)
Using exponent property \(\sqrt[n]{a^n}=a\), we can write our given expression as:
\(64^{\frac{1}{2}}=8\)
Therefore, the value of our given exponential expression is 8.
