((4)/(7))^3 cdot(1 cdot 75)^2

To solve the expression \( \left(\frac{4}{7}\right)^{3} \cdot(1 \cdot 75)^{2} \), we need to evaluate each part separately and then multiply the results.First, let's evaluate \( \left(\frac{4}{7}\right)^{3} \): Next, let's evaluate \( (1 \cdot 75)^{2} \): Now, we multiply the two results together: To simplify this, we can multiply the numerator: So, the expression becomes: To simplify this fraction, we can divide the numerator by the denominator: Therefore, the value of the expression \( \left(\frac{4}{7}\right)^{3} \cdot(1 \cdot 75)^{2} \) is approximately 1048.21.