Question

There are (32)^4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish? A. 3^8 B. 3^9 C. 3^11 D. 3^24

Answer 1

A. 3^8 which equal 6561

Answer 2

The correct option is A.

Explanation:

The given expression is

`(3^2)^4\cdot 3^0`

According to the property of exponent.

`(x^m)^n=x^(mn)`

Using this property we get

`3^(2* 4)\cdot 3^0`

`3^8\cdot 3^0`

According to the property of exponent.

`x^mx^n=x^(m+n)`

Using this property we get

`3^(8+0)`

`3^(8)`

The total number of bacteria in the dish is 3⁸.

Therefore the correct option is A.