Calculate the Square of 4/7: Evaluating (4/7)²

To solve the problem of squaring the fraction $\left(\frac{4}{7}\right)^2$, we will follow these steps:

• Step 1: Determine the square of the numerator. The numerator is $4$, and $4^2 = 16$.
• Step 2: Determine the square of the denominator. The denominator is $7$, and $7^2 = 49$.
• Step 3: Combine these results to form the fraction $\frac{16}{49}$.

The computation involves squaring both the numerator and the denominator separately. In conclusion, the squared fraction is:

$\frac{16}{49}$

Therefore, the corresponding expression for $\left(\frac{4}{7}\right)^2$ is $\frac{16}{49}$.