Can someone explain the answer... Evaluate Radical Expressions

- Destinyyyy

Can someone explain the answer... Evaluate Radical Expressions

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- Destinyyyy

Evaluate--
(1/81)^ -1/4

- Destinyyyy

I know that the correct answer is 3.. I got 9.. I can show my work if you want

- Destinyyyy

@pooja195

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## More answers

- xapproachesinfinity

3^4=81 as my hint

- Destinyyyy

Huh?? O.o

- xapproachesinfinity

Realize that (1/81)^-1/4=(81)^1/4

- Destinyyyy

Yes I know that

- xapproachesinfinity

Them you are good
I just told you 81=3^4

- xapproachesinfinity

So why do you get 9

- Destinyyyy

If your saying 3^4 is the answer that is incorrect

- xapproachesinfinity

No iIdidn't say it is the answer just one step before the answer

- xapproachesinfinity

Why did I make it 3^4 if you think about it

- Destinyyyy

(1/81)^-1/4
= 1/(1/81)^1/4
= 1/^4square root 1/81 --> square root 1/81 = 1/9
1/square root 1/81 = 1/ (1/9) = 1*9/1=9
Where did I go wrong? I followed the example

- xapproachesinfinity

The answer is 3 like you said I'm just giving the why it is the answer

- Destinyyyy

Oh.. Um not sure

- xapproachesinfinity

Lol incorrect footsteps that's why it is wrong

- Destinyyyy

How? I followed the example that I was given

- xapproachesinfinity

Didn't I jut wrote (1/81)^-1/4=(81)^1/4
So we have (3^4)^1/4

- xapproachesinfinity

I thought you understood that step

- Destinyyyy

I understand changing -1/4 to 1/4... I did that in the first step.

- xapproachesinfinity

Now you have something like (a^n) ^m
Which is a^(nxm) rule

- xapproachesinfinity

You did but you didn't flip the fraction

- Destinyyyy

What?? Can you show me your work? I dont understand what your saying.. I dont know what this is "Now you have something like (a^n) ^m Which is a^(nxm) rule "

- xapproachesinfinity

But then you did that in the end however 9 is incorrect since 81=9^2
You used the wrong exponent to simplify

- xapproachesinfinity

You should have used 3^4 not 9^2

- xapproachesinfinity

That's exponent rule my dear

- Destinyyyy

Okay... What I did like the example was square root 81 = 9.. So Im suppose to ignore square root and do 3*3*3*3= 3^4

- xapproachesinfinity

Even if you used 9^2 You still end up with (9^2)^1/4=9^1/2=3

- xapproachesinfinity

It is ni5 square root it 4th root

- Destinyyyy

Um sure... I figured out what you were saying above but honestly your just confusing me.. Thanks for the help I think

- xapproachesinfinity

Sorry I couldn't help more since I'm in the phone otherwise I would try to before precise

- Destinyyyy

Yes Im not suppose to do square root just the fourth power like my other problems.. The example should have shown that.

- xapproachesinfinity

Try to be precise *

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