Question

A scientist estimates that, after a certain amount of time, there would be 2^5×3^3×10^5 in a petri dish. How many bacteria is this?

a. 2.16×10^9
b. 2.45×10^7
c. 5.4×10^8
d. 1.8×10^9

Answer 1

The correct answer is 8.64×107, which corresponds to option b. 2.45×107. This is after calculating the individual components 25, 33, and 105 and multiplying them together.

Step-by-step explanation:

To calculate how many bacteria are represented by the expression 25×33×105, we need to first evaluate each component and then multiply them together:

• 25 = 32
• 33 = 27
• 105 = 100,000

By multiplying these numbers, we get:

32 × 27 × 100,000 = 864 × 100,000 = 86,400,000

Written in scientific notation, this number is:

8.64 × 107
So, the closest answer to the provided options is b. 2.45×107.