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

Respuesta :

Using the rule

[tex](a^b)^c=a^{bc}[/tex]

and the result

[tex]a^0=1\quad(a\neq 0)[/tex]

We have

[tex](3^2)^4\cdot 3^0 = 3^{2\cdot 4}\cdot 1=3^8[/tex]