1. The problem asks to calculate the value of $951$ raised to the power of $\frac{2}{3}$. 2. Recall that raising a number to the power of $\frac{2}{3}$ means taking the cube root of the number squared, or equivalently, squaring the number and then taking the cube root. 3. First, square the number: $$951^2 = 951 \times 951 = 904,401$$ 4. Next, take the cube root of $904,401$: $$951^{\frac{2}{3}} = \sqrt[3]{904,401}$$ 5. Using a calculator or approximation, the cube root of $904,401$ is approximately $96.57$. 6. Therefore, the value of $951^{\frac{2}{3}}$ is approximately $96.57$.