H2+7h-240=0 - Gauthmath

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Question

A room contains eight crates. Each crate contains eight boxes. Each box contains 11 eight bags. Each bag contains eight balloons. a)   How many balloons are in the room? b)   Express the number of balloons as a power. Identify the base and the exponent.SHOW LESS148

Solution

Here are the answers for the questions: Question a: 4096 Question b: (8^4), base = 8, exponent = 4

Question a:

Step 1: Calculate the total number of balloons. There are 8 crates, each containing 8 boxes. Each box contains 8 bags, and each bag contains 8 balloons. Therefore, the total number of balloons is calculated as: (8 \times 8 \times 8 \times 8 = 4096)

The answer is: 4096

Question b:

Step 1: Express the number of balloons as a power. The total number of balloons, 4096, can be expressed as (8^4).

Step 2: Identify the base and exponent. In the expression (8^4), the base is 8 and the exponent is 4.

The answer is: (8^4), base = 8, exponent = 4

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