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Mathematics 15 Online
OpenStudy (one098):

Simplify 81^-3/4

OpenStudy (anonymous):

0.037037037

OpenStudy (anonymous):

1/27

OpenStudy (anonymous):

Actually, tell me: \(3 \times 3 \times 3 \times 3 = ??\)

OpenStudy (one098):

81

OpenStudy (anonymous):

Friends, don't give direct answers..

OpenStudy (anonymous):

medal please

OpenStudy (anonymous):

So, can I write: \[81 = 3^4\]

OpenStudy (one098):

Yes

OpenStudy (anonymous):

@Preetha will give you medal.. Just wait..

OpenStudy (one098):

So now what?

OpenStudy (anonymous):

81^(1/4) = 9^(1/2) = 3 3³ = 27 <--- B

OpenStudy (anonymous):

Now: \[(3^4)^\frac{-3}{4}\]

OpenStudy (anonymous):

Is this right?

OpenStudy (one098):

You lost me now..

OpenStudy (anonymous):

And you must know: \[(a^m)^n = (a)^{m \times n}\]

OpenStudy (anonymous):

I have just replaced 81 as 3^4

OpenStudy (anonymous):

|dw:1417550032066:dw|

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