Bacterial Growth Calculation

In this problem, we are given two test tubes containing bacteria that multiply every hour, and we need to find the total number of bacteria after six hours.

Let's first list the given information for both test tubes.

Let's calculate the number of bacteria in the first test tube after six hours.

Since both six and two are raised to the power of six, we can combine them using exponent rules.

This gives us four times the quantity six times two to the sixth power.

Six times two is twelve, so the first tube contains four times twelve to the sixth bacteria.

Now, let's calculate the bacteria in the second test tube after six hours.

First, we express eight as a power of two, which is two cubed.

Multiplying the exponents gives two to the power of fifteen.

To match the power of six, we can split two to the fifteenth into two cubed times two to the twelfth.