Jackie has swimming practice three days a week. On Monday she swam \( 4^{1 / 5} \) laps, Tuesday she swam \( 7^{1 / 4} \) laps, and on Wednesday she swam \( 6^{2 / 10} \) laps. How many laps did she swim that week?

To find the total number of laps Jackie swam during the week, we need to calculate the three different laps and then sum them up. On Monday, Jackie swam \( 4^{1/5} \) laps. On Tuesday, she swam \( 7^{1/4} \) laps. On Wednesday, she swam \( 6^{2/10} \), which simplifies to \( 6^{1/5} \) laps. Now we'll calculate each term: 1. \( 4^{1/5} \) is the fifth root of 4. 2. \( 7^{1/4} \) is the fourth root of 7. 3. \( 6^{1/5} \) is the fifth root of 6. Now, we add these values: Total laps = \( 4^{1/5} + 7^{1/4} + 6^{1/5} \). Since we want a numerical approximation, let's calculate these roots using a calculator or mathematical tables: - \( 4^{1/5} \approx 1.319 \) - \( 7^{1/4} \approx 1.626 \) - \( 6^{1/5} \approx 1.430 \) Adding these values: Total laps \( \approx 1.319 + 1.626 + 1.430 \approx 4.375 \). Therefore, Jackie swam approximately \( 4.375 \) laps that week.