anonymous
  • anonymous
Can someone please help!? I don't understand how to do this. ^16sqrt((-8)^16)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1332368433787:dw|
Zarkon
  • Zarkon
\[\sqrt[16]{(-8)^{16}}=|-8|=8\]
anonymous
  • anonymous
the 16's cancel out

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Ok so the 16's cancel out...which leave the sqrt(-8)
anonymous
  • anonymous
The negative sign in front of the eight disappears because power of 16 is even. So if you multiply -2X-2 you get 4 if you multiply -2X-2X-2 you get -8
anonymous
  • anonymous
ok so the answer is the sqrt(8)?
Zarkon
  • Zarkon
I already gave you the answer...why don't people believe me :)
anonymous
  • anonymous
didn't say I didn't believe you just trying to understand it also.
anonymous
  • anonymous
|-8|=8\] so this is the answer you gave? correct?
Zarkon
  • Zarkon
the answer is 8
anonymous
  • anonymous
The answer is 8. Just to clarify what happened,: -8^16=-281X10^12 then the 16th root of that result is 8
anonymous
  • anonymous
I would check with your textbook or teacher. I could see arguments made for both cases. Ultimately, I would call it\[\pm8\] I've seen books that treat negative numbers under even rooted radicals as negative simply because the question was asked with a negative under the radical. I would go with -8 if you have to pick one though.
Zarkon
  • Zarkon
when the notation \[\sqrt[n]{}\] then the value wanted is the principal value otherwise there are 16 answers
anonymous
  • anonymous
Ok so your suggesting to go with the answer of -8? Once I put that answer in I can't go back and change it. It is an online quiz.
anonymous
  • anonymous
|dw:1332368998213:dw|
anonymous
  • anonymous
THANK YOU for drawing it out...that helped alot!
anonymous
  • anonymous
I would look for an example in your textbook before submitting the answer online.
phi
  • phi
bjc, Zarkon gave you the correct answer. The problem is that there are subtleties with this question. There are 16 different answers. but unless you are expected to find all of them you give the principal root. That will be 8
anonymous
  • anonymous
As I said, I could see arguments going either way on this one.
Zarkon
  • Zarkon
http://www.wolframalpha.com/input/?i=16th+root+of+%28-8%29^16
anonymous
  • anonymous
There we go!
anonymous
  • anonymous
Ok thanks so much everyone...I think this is the most responses on a question i have ever gotten. It helps!
anonymous
  • anonymous
I use wolfram but have never been able to figure out how to put in the 16th root...thanks for showing me how to do that too! LOL
anonymous
  • anonymous
Be careful... http://www.wolframalpha.com/input/?i=%2816th+root+of+%28-8%29%29^16
Zarkon
  • Zarkon
TheFigure: that is a different problem
anonymous
  • anonymous
I'm totally open to the idea that I'm wrong. This is a fuzzy area. :)
anonymous
  • anonymous
Well you guys have been completely helpful. Thanks again.
anonymous
  • anonymous
It was my understanding these were completely interchangable. |dw:1332369436288:dw| Oh, bjcjdj2020, which answer ended up working?
anonymous
  • anonymous
I won't know until after I finish my quiz but I used 8.
anonymous
  • anonymous
I have about 64 questions to go.
anonymous
  • anonymous
Good luck!
anonymous
  • anonymous
and I am open for any more help! LOL Its my final quiz and math isn't my area of expertise
anonymous
  • anonymous
TY
anonymous
  • anonymous
Well, good luck friend! I'd be curious to know how it turns out! :)
anonymous
  • anonymous
I will post to let you all know how the quiz goes.
Zarkon
  • Zarkon
they are interchangable if \(x\ge 0\)
Zarkon
  • Zarkon
for any positive even integer \(n\) \[\sqrt[n]{x^n}=|x|\]
phi
  • phi
@TheFigure This only gives the rules, (near the bottom), http://www.mathsisfun.com/numbers/nth-root.html not much insight.
anonymous
  • anonymous
OK, so there is a little restriction I was unaware of. Thank you for bringing it to my attention. It'll make me better at this! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.