Question

There are (3^6)^2 ⋅ 3^0 candies in a store. What is the total number of candies in the store? (5 points)

3^3

3^4

3^8

3^12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total number of candies in the store, we can simplify the given expression:

(3^6)^2 ⋅ 3^0

Since any number raised to the power of 0 is equal to 1, we can simplify further:

(3^6)^2 ⋅ 1

Now we can use the exponent rule for raising a power to another power:

3^(6*2) ⋅ 1

3^12 ⋅ 1

Therefore, the total number of candies in the store is 3^12.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the total number of candies in the store, we need to simplify the expression (3^6)^2 ⋅ 3^0.

First, let's simplify the exponent (3^6)^2. This means we will square 3^6.

(3^6)^2 = (3^(6*2)) = 3^12

Now, we have (3^12) ⋅ 3^0.

Any number raised to the power of 0 is equal to 1, so 3^0 = 1.

Therefore, (3^12) ⋅ 3^0 = (3^12) ⋅ 1 = 3^12.

So, the total number of candies in the store is 3^12.

Answer 3

[AI-generated answer — Explain Bot]

To find the total number of candies in the store, we need to simplify the expression (3^6)^2 ⋅ 3^0.

First, let's simplify (3^6)^2:
(3^6)^2 can be rewritten as 3^(6×2) = 3^12.

Next, let's simplify 3^0:
Any number (except zero) raised to the power of zero is always equal to 1. Therefore, 3^0 = 1.

Now, we can rewrite the expression as 3^12 ⋅ 1:
Whenever we have a number multiplied by 1, it remains the same. Therefore, 3^12 ⋅ 1 = 3^12.

So, the total number of candies in the store is 3^12.

Therefore, the correct answer is 3^12.