Question

There are (3^2)4 ⋅ 3^0 bacteria in a Petri dish. What is the total number of bacteria in the dish?

Question 3 options:

1) 3^8

2) 3^9

3) 3^11

4) 3^24

Answer 1

Using the rule

`(a^b)^c=a^(bc)`

and the result

`a^0=1\quad(a\\eq 0)`

We have

`(3^2)^4\cdot 3^0 = 3^(2\cdot 4)\cdot 1=3^8`