Question

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

3^8
3^9
3^11
3^24

Answer 1

3^24 hope this helps because (3^2)^4 make this four times and that means it's 3^24 and you can't multiply it because it's 0 answer is 3^24

Answer 2

keepiing in mind that anything raised to 0, is 1, with the sole exception of 0 itself.

`\bf (3^2)^4\cdot 3^0\implies 3^(2\cdot 4)\cdot 1\implies 3^8\implies 6561`