# Question: Powers of 8

## Comment on Powers of 8

### Can you not subtract the 3 in

Can you not immediately subtract the 3 in both the numerator and denominator to get 0? And simplify the rest of the equation? ### In order to apply the

In order to apply the Quotient Law (which is covered here https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1025) the two bases must be equal.

For example, (5^7)/(5^3) = 5^4

In the given expression, the top power has a base of 8^4, and the bottom power has a 8^3, since 8 x 8^2 = 8^3

Since the bases aren't equal, we can't apply the Quotient Law.

### Can you guys please tell me

Can you guys please tell me that after every question, their is a colour given like green, yellow, red. Can you please tell me that what tgis colour signifies.? ### You bet.

You bet.

Green: Easy question (difficulty level: 350 to 500)
Yellow: Medium question (difficulty level: 500 to 650)
Red: Difficult question (difficulty level: 650 to 800)

### Hi, I'm sorry but where are

Hi, I'm sorry but where are these colors located in the video? I dont see what you are referring to. ### On each module page (e.g.,

On each module page (e.g., https://www.gmatprepnow.com/module/gmat-powers-and-roots), you'll see a colored box for each video question. The box is next to the PLAY button.

### Oh awesome thanks! Is there

Oh awesome thanks! Is there an indicator for the verbal section as well because I didn't see it there? ### I don't have the same system

I don't have the same system for the video questions. However, all of the linked questions (e.g., https://www.gmatprepnow.com/module/gmat-critical-reasoning/video/1136) are categorized by difficulty level.

### I am just lot by the title

I am just lost by the title 'Powers of 8'. The rule applies to solve can be applied to any number correct.

Or is it that you decided to name the problem as such ### Yes, the exponent rules

Yes, the exponent rules needed for this question apply to all bases (not just 8).

I just needed a title for the question to distinguish it from other questions :-)

### I first got this question

I first got this question wrong since I did the upper part as (8^9)^3. I keep making mistakes like this (by not first calculating (8^5)(8^4)^3 = (8^5)(8^12)). Which video can I revisit or which practice questions can I do in order to practice and stop making these small mistakes when it comes to what order to perform which mathematic actions in? :-) ### This video covers that

This video covers that concept/law: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1029

To practice, you can answer the questions in the Reinforcement Activities area.

### this video should be very

this video should be very basic did it like 30s :) ### I agree. The difficulty for

I agree. The difficulty for this question is 350-500.