Question

Suppose you get a cut on your finger and 5 bacteria cells get into the cut. Each hour the number of bacteria cells will double unless you clean your cut. If you don't clean your cut how many bacteria cells will be in it after 7 hours?

Answer 1

5⁶⁴ = 152587890625⁴ bacteria's at 7 hours

Explanation:

Simple..

it means the bacteria is increasing exponentially.

This is a geometric progression.

at 0 hrs = 0 bacteria

at 1 hr = 5 bacteria

at 2hr = 25 " = 5²

at 3hrs = 25 x 25 = 5² x 5² = 5⁴

at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸

at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶

at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²

at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴

5⁶⁴ = 152587890625⁴