Question

Evaluate.

Answer 1

what if i turn it into \[\huge (-8)^{-\frac{1}{3}} \implies -\frac{1}{8^{\frac{1}{3}}} \implies -\frac{1}{\sqrt[3]{8}}\]

does that help??

Answer 2

not really:S

Answer 3

what is the cube root of 8?

Answer 4

2

Answer 5

so what's \(\LARGE -\frac{1}{\sqrt[3]{8}}\)?

Answer 6

-1/2?

Answer 7

you got it ^_^

Answer 8

so -1/2 is the answer?

Answer 9

yep

Answer 10

ok, so they gave me four choices
a) 2
b) -2
c) 4
d) undefined
but there's not -1/2, so which one is it? :s

Answer 11

uhmm wait..maybe i read the question wrong...i read this as \[\Huge \sqrt[-3]{-8}\] correct?

Answer 12

yup

Answer 13

maybe it's \[\Huge -\sqrt[3]{-8}\] there's a distinct difference

Answer 14

which is it?

Answer 15

ok i think its the second one

Answer 16

now that's a BIG difference!!

\[\Huge -\sqrt[3]{-8} \implies -(-8)^{\frac{1}{3}}\] now what is the cube root of -8?

Answer 17

-2

Answer 18

so it becomes \[-(-2)\]

Answer 19

what do you think that means?

Answer 20

sorry, it was my mistake, u see im just starting to see this subject so i didnt know :S

Answer 21

positive 2?

Answer 22

yup

Answer 23

ok thanks, sorry for the incovenience

Answer 24

now you see how delicate math is ;) a simple typo results in a different answer hehe ^_^

Answer 25

yeahhh. haha :P