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