# Lesson: Introduction to Exponents

## Comment on Introduction to Exponents

### Hi!

Hi!

So I was working on this practice question: https://gre.myprepclub.com/forum/x-is-an-integer-greater-than-1724.html

I got confused, the answer is "D." someone in the comments said that when X=1, A is greater. I am confused because the given info says X is "an integer greater than 1." I assumed that this means it could not equal 1, because 1 is not greater than 1. Is that thinking not right? You're right; the person should have tested a different value. Let's do that.

CASE I: If x = 2, we get:
QUANTITY A: 3^(x + 1) = 3^(2 + 1) = 3^3 = 27
QUANTITY B: 4^x = 4^2 = 16
In this case, Quantity A is greater.

CASE II: If x = 4, we get:
QUANTITY A: 3^(x + 1) = 3^(4 + 1) = 3^5 = 243
QUANTITY B: 4^x = 4^4 = 256
In this case, Quantity B is greater.

THANKS!

### Hey Brent i have a question..

Hey Brent i have a question......

8 + 8 + 8 + 8 + 8 = 8(5) = 40
but if 8 * 8 * 8 * 8 * 8 * 8 than we cant factor it out like above as 8(1*1*1*1*1) = 8 and not equal to 8^5

right? ### When it comes to factoring,

When it comes to factoring, we can only factor the terms that are separated by addition and subtraction operations.
When the terms are separated by addition and subtraction operations, we must factor the same value out of each term.
For example: 3x + 6xy - 12x² = 3x(1 + 2y - 4x)

When the terms are separated by multiplication operations, then we can only factor ONE of the terms.
For example, I can take 8 * 8 * 8 * 8 * 8 * 8 and factor a 2 out of the first 8 to get (2)(4) * 8 * 8 * 8 * 8 * 8

Here's a video on factoring: https://www.greenlighttestprep.com/module/gre-algebra-and-equation-solvi...

### Brent god bless you for this

Brent god bless you for this explanation!!!! Thanks for that!