Alright, this might be simple, but I don't get it.
How does .... (8⅓)² become (2)² ????
I was thinking that (8⅓) = 8/3...... Because isn't (8⅓) = (8 x ⅓)??
So how does (8⅓) end up being (2)² ???
2006-09-26 18:53:40 · 16 answers · asked by J.Welkin 1 in Science & Mathematics ➔ Mathematics
The answer is quite simple, (8.3333)^2 does not equal
(2)^2
But (8^0.3333)^2 does equal (2)^2
Now check it out.
(8)^0.3333 = 2 (2)^2 = 4
(2)^2 = 4
2006-09-26 19:13:04 · answer #1 · answered by bob 1 · 0⤊ 0⤋
I think you must have read the sum wrong as it appears to be
(8^1/3) ^2 where ^ means "to the power of"
Now it is simple as power of 1/3 means cube root so cube root of 8 is 2 and therefore you can replace 8^1/3 with 2 leaving you with 2^2.
I don't know how to write the fraction as you have done but 8 and one thirds are NEVER equal to 8 x 1/3 but 8 + 1/3.
2006-09-27 01:57:32 · answer #2 · answered by jazideol 3 · 1⤊ 0⤋
Thats an easy one. 8 to the power 1/3 or 8^(1/3) is the cube root of 8 which gives u 2.
So both 2^2 and also (8^(1/3))^2 equals 4.. get it ?! :)
2006-09-27 01:59:48 · answer #3 · answered by ynroh 3 · 1⤊ 0⤋
Let's see if I remember how to do this... 8 x 1/3= 8/1 x 1/3... flip the inequalities and multiply 8/1 x 3/1 = 16/1 or 16.... so 16 squared changed to 2 squared would require dividing by 8 squared.... I think. :)
2006-09-27 01:56:58 · answer #4 · answered by thetyranyofevilmen 2 · 0⤊ 0⤋
Read the question properly. It may be 1/3rd power of 8. If it is correct they the answer is 2. The 1/3rd power means cube root of 8 that is = 2. Then the value of z = 2.
2006-09-27 03:55:48 · answer #5 · answered by gsp 1 · 0⤊ 0⤋
it is the third root of 8, so you have to find a number that will multiply 3 times to get 8 .That number is 2 because 2x2x2=8. You alway do what is in the parethis first so you get (2)^2
2006-09-27 02:05:17 · answer #6 · answered by justagirl 2 · 0⤊ 0⤋
okay listen. all these other people are retarded. 8 is the same thing as 2^3. so replace the 8 with 2^3. now you have:
(2^3(1/3))^2.
now you multiply the exponents inside the parentheses(3 x 1/3) which equals 1.
now you have 2^2.
2006-09-27 02:06:54 · answer #7 · answered by Rick 2 · 0⤊ 0⤋
(8 ^1/3 )
(8)^1/3
(2)^3*1/3 3 is cancelled with 1/3
2 answer
the answer is 2
2006-09-27 02:30:13 · answer #8 · answered by sukrantsharma 2 · 0⤊ 0⤋
8 1/3 = 25/3 (from here on we will refer to this as x)
so...
divide x by 4
x=2 to the second power
2006-09-27 02:00:11 · answer #9 · answered by Anonymous · 0⤊ 0⤋
no matter how i look at your equation, the left hand side will never be equal to the right hand side.
HOWEVER, if you make 1/3 an exponent, everything will make sense.
(8^(1/3))^2=2^2
because 8^(1/3)=2
2006-09-27 02:18:51 · answer #10 · answered by woof! 2 · 0⤊ 0⤋
u may mean 8 ^ â
where 8^ 1/3 = ³â 8 = 2
then
(8 ^ â
)² =(2) ²
2006-09-27 01:58:52 · answer #11 · answered by M. Abuhelwa 5 · 0⤊ 0⤋