Answer:
he ran 96 miles farther in the second week.
Step-by-step explanation:
Given that A long distance runner runs 2⁵ miles one week;
![2^5miles=2*2*2*2*2=32miles](https://img.qammunity.org/2023/formulas/mathematics/college/yeumbebuu25sz5igzihltuekn6cfkxmuv2.png)
And 2⁷ miles the next week;
![2^7miles=2*2*2*2*2*2*2=128\text{ miles}](https://img.qammunity.org/2023/formulas/mathematics/college/72qwu40uaiiamyndx097rukjtbtazmk4zd.png)
The amount of miles farther he run in the second week than the first week is;
![\begin{gathered} 128-32 \\ =96\text{ miles} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/sotw5pq4ktursm0cvfe2n73qru7e5fcunu.png)
Therefore, he ran 96 miles farther in the second week.