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# Factorials/Order of Operations

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Hello! Could someone please explain to me where factorials are "listed" in the order of operations? Do they go after or before parentheses/exponents/multiplication?

Thanks!

Oct 30, 2019
edited by milkcloud  Oct 30, 2019

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I do not remember ever having confusion over this.  I think it is normally self explanatory.

Brackets/parentheses  take precedence over everthing else.

But I would think of 6! as an individual number.  So 5*6!   would mean 5 * the factorial of 6.

\(4^{3!}=4^6\\ 4^3!=64!\)

If that doesn't help maybe you can give us specific examples that are confusing you.

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The order of operation that I still get confused with is a power of a power

like

\(3^{4 ^2}\)

Is that 3^16 or is it 81^2

There is a rule but I always forget what it is.

Oct 31, 2019
edited by Melody  Oct 31, 2019
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Thank you Melody! That explained a lot : D

milkcloud  Oct 31, 2019
edited by milkcloud  Feb 17, 2020
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....or factorals are just multiplication    6!  =   6 * 5 * 4 * 3 *2

Oct 31, 2019