Asked by Sally.
Hi im lost on my last question.
k^-3 = 1/256
this is negative exponets "^-3" that is a negative exponent, I need to know the value of k?
a)-64
b)-4
c)4
d)64
I was thinking 64, eh I don't understand this one. Thanks!
k^-3 = 1/256
this is negative exponets "^-3" that is a negative exponent, I need to know the value of k?
a)-64
b)-4
c)4
d)64
I was thinking 64, eh I don't understand this one. Thanks!
Answers
Answered by
Steve
k^-3 = 1/k^3
So, you want
1/k^3 = 1/256
k^3 = 256
Now, 256 = 2^8, so
k = 2^(8/3) = 2^2 * 2^(2/3) = 4∛4
Hmmm. we got trouble.
(a) and (b) are out.
4^-3 = 1/4^3 = 1/64
64^-3 = 1/64^3 = 1/4096
I think that 1/256 is a mistake.
Or, the -3 is a mistake.
16^-2 = 1/16^2 = 1/256
The whole thing is a mess.
So, you want
1/k^3 = 1/256
k^3 = 256
Now, 256 = 2^8, so
k = 2^(8/3) = 2^2 * 2^(2/3) = 4∛4
Hmmm. we got trouble.
(a) and (b) are out.
4^-3 = 1/4^3 = 1/64
64^-3 = 1/64^3 = 1/4096
I think that 1/256 is a mistake.
Or, the -3 is a mistake.
16^-2 = 1/16^2 = 1/256
The whole thing is a mess.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.