Question

simplify 8^2/3 x 2^-1/3

Answer 1

\[8=2^{3} so... 8^{(2/3)}=2^{2}\]

Answer 2

then you have 2^2 * 2^(-1/3). Add the exponents

Answer 3

\[8^{\frac{2}{3}}\] means cube root of 8 squared. cube root of 8 is 2, 2 squared is 4

Answer 4

2 + (-1/3) = 5/3

So the answer would be 2 ^ (5/3)

Answer 5

i got lost somewhere

Answer 6

in order to simplify, you have to have a common base. So by simplifying the 8, you can get everything written with a base of 2

Answer 7

they are added...not multiplied?

Answer 8

like satellite said, the cube root of 8 is 2, so that gives you 2^2

Answer 9

well, when multiplying, you add the exponents....think x^2*x^3 = x^5

Answer 10

i understand the first number, not the second 2^(-1/3)

Answer 11

so, since they both have a base of 2, you can add their exponents

Answer 12

ok...gotcha on the addition

Answer 13

You don't have to change anything in 2^(-1/3), since it alrady has a base of 2

Answer 14

how do you get 5/3 by adding -1/3 and 2

Answer 15

sorry im slow lol

Answer 16

get common denominators....2 = 6/3

Answer 17

:)

Answer 18

-1/3 + 6/3 = 5/3

Answer 19

duh moment lol

Answer 20

haha

Answer 21

makes sense now

Answer 22

great!

Answer 23

im new to this site. how exactly does it work...students helping students?

Answer 24

mostly

Answer 25

i have a few more of these problems, but i want to try them myself...try at least lol

Answer 26

thanks for your help