Question

apply exponent properties for all integer exponents
busby is a famous cat on a video-sharing app. the total number of likes for busbys most popular video grows by 10% every month. the total number of likes for the video $m$ months from now will be $4,400(1.1)^m$.
how many likes does busbys video have right now?
4400 likes
how many likes did busbys video have one month ago?
____ likes

Explanation:

Step1: Define the formula for past likes

We use the given formula $L(m) = 4400(1.1)^m$, where $m=-1$ represents 1 month ago.

Step2: Substitute $m=-1$ into the formula

$$L(-1) = 4400(1.1)^{-1} = 4400 \times \frac{1}{1.1}$$

Step3: Calculate the result

$$4400 \div 1.1 = 4000$$

Answer:

4000 likes