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Mathematics 18 Online
OpenStudy (anonymous):

Simplify. (3m)^-4

OpenStudy (anonymous):

\[(3m)^{-4}\]

OpenStudy (compassionate):

81m^-4

OpenStudy (anonymous):

The problem says to use positive exponents only.

OpenStudy (anonymous):

= 1/ (3m)^4

OpenStudy (anonymous):

I can try.

OpenStudy (anonymous):

Sorry, it's taking me a while i'm lost.

OpenStudy (anonymous):

Where do you lost?

OpenStudy (anonymous):

I dont know where to begin.

OpenStudy (anonymous):

@Chlorophyll is it \[\frac{ 3 }{ m^4 }\]

OpenStudy (anonymous):

= 1/ (3m)^4 So do you understand until here?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

Since BOTH " 3" and "m" are INSIDE the bracket of power 4, you need to power ...?

OpenStudy (anonymous):

i dont get it... power of 10?

OpenStudy (anonymous):

( 3 m) ^4 = 3^4 * m^4 = ...

OpenStudy (anonymous):

3m^16?

OpenStudy (anonymous):

3^4 = 3 * 3 * 3 *3 = ...?

OpenStudy (anonymous):

81

OpenStudy (anonymous):

That how you power!

OpenStudy (anonymous):

-> ( 3 m ) ^4 = ....?

OpenStudy (anonymous):

I'm just really confused. I'll guess I have a time limit and I need to get this done but thank you for your help anyway :)

OpenStudy (anonymous):

( 3 m) ^4 = 3^4 * m^4 = 3 * 3 * 3 *3 m^4 = ....?

OpenStudy (anonymous):

81m^4? That doesn't look right but that is all I can think of, none of it makes sense to me.

OpenStudy (anonymous):

NO, I mean you're correct but at the end the result is = 1/ 81m^4

OpenStudy (anonymous):

= 1/ (3m)^4 = 1/ 81m^4

OpenStudy (anonymous):

It doesn't make because you don't learn the rule of power!

OpenStudy (anonymous):

3^2 = 3*3 = 9 2^3 = 2 *2 * 2 = 8 3^4 = 3 * 3* 3* 3 = 81

OpenStudy (anonymous):

I guess because you don't know how to use the calculator!

OpenStudy (anonymous):

I don't use a calculator.

OpenStudy (anonymous):

So you should use to check your manual work, also to understand it more!

OpenStudy (anonymous):

Ok. Thanks!

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