Can someone explain the answer... Evaluate Radical Expressions

Question

destinyyyy · Answer

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

destinyyyy · Answer

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

destinyyyy · Answer

@pooja195

xapproachesinfinity · Answer

3^4=81 as my hint

destinyyyy · Answer

Huh?? O.o

xapproachesinfinity · Answer

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

destinyyyy · Answer

Yes I know that

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

So why do you get 9

destinyyyy · Answer

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

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

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

destinyyyy · Answer

(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 · Answer

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

destinyyyy · Answer

Oh.. Um not sure

xapproachesinfinity · Answer

Lol incorrect footsteps that's why it is wrong

destinyyyy · Answer

How? I followed the example that I was given

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

I thought you understood that step

destinyyyy · Answer

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

xapproachesinfinity · Answer

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

xapproachesinfinity · Answer

You did but you didn't flip the fraction

destinyyyy · Answer

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 · Answer

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

xapproachesinfinity · Answer

You should have used 3^4 not 9^2

xapproachesinfinity · Answer

That's exponent rule my dear

destinyyyy · Answer

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 · Answer

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

xapproachesinfinity · Answer

It is ni5 square root it 4th root

destinyyyy · Answer

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

xapproachesinfinity · Answer

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

destinyyyy · Answer

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

xapproachesinfinity · Answer

Try to be precise *