The smallest figurine in a gift shop is 2 inches tall. The height of each figurine is twice the height of the previous figurine.

Question

3 years ago

9

Write a power to represent the height of the tallest. Then find the height.

2 answers:

drek231 [11] · Answer 1 · 2021-12-02T05:46:48+03:00

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:

Anarel [89] · Answer 2 · 2021-12-02T07:08:23+03:00

Answer:

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

Step-by-step 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 $2^n$