How do you uncube (^3) something?

Question

I figured out that r^3 = 9.367*10^24, but I don't know how to uncube something. Help!

Answer 1

I'm assuming you're finding r...
you basically need to raise each side of the equation to the 1/3 (one-third) power.
On the left side of the equation, (r^3^(1/3)) = r.
So, r = (9.367*10^24)^(1/3). Cool? Hope this helps!

EDIT: To whoever is saying I'm wrong (although I'm a girl, not a guy), I think it is just my notation that is wrong.

First off, do you agree that when solving an equation, you perform the exact same operation on both sides of the equation?

(1/3)*3 = 1, am I right? I now see the error in my notation when I typed: "(r^3^(1/3)) = r" Careless error, what I meant was...
r^3*(1/3) = r, because r^1 = r, right?

EDIT again: To clarify what I'm trying to say, raising something to the 1/2 power is the same as taking its sqare root, and raising something to the 1/3 power is the same as taking its cubed root. So since you have r^3 on the left side, and since 3*(1/3) = 1 and r^1 = r, then in order to find r, you need to either raise the entire right side of the equation to the 1/3 power, or take its cubed root -- both should get you the same result.

EDIT 3: I'm using elementary-level math/logic to come to my conclusions. I'm 99.9999% sure I'm correct. Dividing the quantity on the right by 3 three times is the same thing as dividing it by 27 (x/3/3/3 is equivalent to x *(1/3)*(1/3)*(1/3) which is equivalent to x*(1/27) = x/27), which does NOT get you the same result as taking the cubed root. In response to the person who says his dad is a college professor, your dad might have misunderstood the question in some way, or simply made a mathematical error.
Of course, if you can prove me wrong with a convincing source (other than just saying your dad is a professor and therefore correct, because professors can make mistakes, too -- I personally KNOW engineering professors who admit to this), then I will eat my words.

EDIT 4: This part of computer guy's answer...

"OK, first the cube root of a times b is the cube root of a times the cube root of b.

this means r = ³√ 9.367 x 10^8"

...I completely agree with, plus he makes it so much simpler than I have!

Answer 2

use a scientific calculator.... shift-cube will give you cube root, or you can hit the "power" button and enter 1¬3 (1/3)

if that's not allowed or you don't have one... get out your handy table of cubes (whaddya mean you don't have one) or just guess at it. take your guesswork number, multiply it by itself, and then multiply the result by your guessed number again. see how close you are. trial and error it accordingly.

(i have to do this with my phone calculator if i need to square-root something, as - despite it having enough power to record videos, play 3d games etc - the programmers didn't think including anything more than the four basic functions was necessary in it's calc... even though i've used less capable phones with more-or-less complete scientific calcs in them... tosspots)

for that, your resulting number is pretty large, so i'd start off high as well. something around 2.2 x 10 ^ 8... work out what that becomes when you multiply it up (haven't a clue myself) and play the old "hot - cold" game til you've reached an acceptable number of correct significant figures.

1^3 = 1
2^3 = 8
4^3 = 64
6^3 = 216
8^3 = 512
10^3 = 1000 (ie 1x10^1 ^3 = 1x10^4)
100^3 = 1,000,000 (1x10^2 ^3 = 1x10^6 ... i'm sure there's a lesson in there somewhere)
and all that.

don't know personally about the logarithm things someone else mentioned, but they're probably good to go. never really did much work with them at school but i bet i'd be a lot handier at squares and cubes if i had.

Answer 3

OK, first the cube root of a times b is the cube root of a times the cube root of b.

this means r = ³√ 9.367 x 10^8

Cube roots can be extracted manually, but it's a pain. If you don't have a calculator, get out your slide rule or your book of logarithms.

Divide the logarithm of 9.367 by 3, and then take the antilogarithm of that.

Just by eyeball, the cube root of 9.367 is about 2.1.

Answer 4

Take the cube root or raise it to the 1/3 power.

Answer 5

first off the guy above me is wrong!!!r^3 = 9.367*10^24

93,670,000,000 is the real #

not 1/3 because thatll get
a big number
rxrxr=93,670,000,000
divide by 3
get your answer and divide that by 3, 2 more times and thatl give you the answer !!!!!!!!!!

listen to me i asked my dad hes a college professor