Question

The smallest figurine in a gift shop is 2 inches tall. The height of each figurine is twice the height of the previous figurine. Write a power to represent the height of the tallest. Then find the height.

Answer 1

The required power to represent the height of the tallest is
`2^n`

Explanation:

Consider the provided information.

The smallest figurine in a gift shop is 2 inches tall.

It is given that the height of each figurine is twice the height of the previous figurine.

The smallest figurine is 2 inches tall.

The second smallest figurine height should be:

2 × 2 = 2² = 4 inches tall

The third smallest figurine height should be:

2 × 2 × 2 = 2³ = 8 inches tall

The forth smallest figurine height should be:

2 × 2 × 2 × 2=
`2^4` = 16 inches tall

Let say there are n figurine in the gift shop. So the height of the tallest figurine will be:

2 × 2 × 2 ......n times =
`2^n`

Hence, the required power to represent the height of the tallest is
`2^n`

Answer 2

The correct power equation to represent the height of the figurines would be:

2^n

where n represents how many figurines there are in the gift shop

For example, let us say that there are 10 figurines therefore n = 10, so the height of the tallest figurine is:

2^10 = 1024 inches

Answer:

2^n