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## Comment on

Exponent Laws - Part I## The value of 12! is closest

A. (10^6)

B. 3(10^7)

C. 5(10^8)

D. 7(10^9)

E. 9(10^11)

Hi Brent,

I did not understand your approach to solve this question. What is 12!

Grateful for your help on this

Fatima-Zahra

## Question link: https:/

Question link: https://gmatclub.com/forum/the-value-of-12-is-closest-to-233527.html

Good question, Fatima-Zahra.

In general, n! (read as "n factorial") is the product of all of the positive integers from 1 to n.

So, for example, 4! = 4 x 3 x 2 x 1

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

and 12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

More on factorial notation: https://www.gmatprepnow.com/module/gmat-counting/video/780

Cheers,

Brent

## Hi Brent, could you explain

## Sorry Jalal, but I'm not sure

Sorry Jalal, but I'm not sure what you mean by "solve a factorial number."

If you mean how to evaluate (e.g., 3! = 6), then I cover that in my post here: https://gmatclub.com/forum/the-value-of-12-is-closest-to-233527.html#p18...

Cheers,

Brent

## Hi Brent,

In the below DS question I know the answer is B but I failing to get a definite answer out of B. Need your help.

https://gmatclub.com/forum/is-5-k-less-than-144719.html

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/is-5-k-less-than-144719.html#p1996771

Cheers,

Brent

## For (12^8)/(2^3)

can you do this?

(6^8)(2^8)/(2^3)= (6^8)(2^5)= 53,747,712?

## You bet!

You bet!

Rewriting 12^8 as (6^8)(2^8) is an application of the Combining Bases law (more here: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1029)

And simplifying (2^8)/(2^3)to get 2^5 is an application of the Quotient law.

Cheers,

Brent

## HI Brent can u solve this

2^(4−1)^2 /2^(3−2)=

A. 2^8

B. 2^7

C. 2^6

D. 2^5

E. 2^4

## Question link: https:/

Question link: https://gmatclub.com/forum/2-104427.html

IMPORTANT: I'm adding some square brackets to show that we are squaring the value of (4-1)

We have: 2^[(4−1)^2]/2^(3−2)

Evaluate parts in bracket: 2^[(3)^2]/2^(1)

Evaluate again: (2^9)/(2^1)

Apply Quotient Law: 2^8

Answer: A

Cheers,

Brent

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