Question

A car travel at a speed of 7^2 miles per day. How long will the car travel in 7^5 days?

Answer 1

Answer:

$\sf{7^7}$ miles

Step-by-step explanation:

As per the provided information in the given question, we have :

• A car travel at a speed of 7² miles per day.

We are asked to calculate the how long will the car travel in 7⁵ days.

Here, we are given that the miles travelled by car in one day is 7² miles. So, the product of miles travelled in one day and 7⁵ will give is the distance travelled in 7⁵ days.

→ Distance travelled in 7⁵ days = Distance travelled in one day × 7⁵

→ Distance travelled in 7⁵ days = (7² × 7⁵) miles

• Since, the bases are same. So, their powers will be added.

→ Distance travelled in 7⁵ days = 7⁽⁵⁺²⁾ miles

→ Distance travelled in 7⁵ days = 7⁷ miles

∴ The car will travel 7⁷ miles in 7⁵ days.