## anonymous one year ago Solve x3 = 1 over 8. 1 over 2 ±1 over 2 1 over 4 ±1 over 4

1. anonymous

@ospreytriple

2. anonymous

You have$x^3 = \frac{ 1 }{ 8 }$ If you can express $$\frac{1}{8}$$ as a number raised to exponent 3, then you can simply equate the bases. Can you think of a number that, when cubed, equals 1\8 ?

3. anonymous

1/2 @ospreytriple

4. anonymous

b is incorrect because the plus and minus sign you dont use in power to the third

5. anonymous

Excellent. So$x^3 = \left( \frac{ 1 }{ 2 } \right)^3$When the exponents are the same, simply equate the bases. So$x=?$

6. anonymous

1/2 is the answer its not 1/2 plus minus sign

7. anonymous

@Marc1313 , please do not provide direct answers. It does not help the asker and it violates OpenStudy's Code of Conduct.

8. anonymous

i didnt provide direct answer @GIL.ojei did i was then one who said 1/2 plus minus sign so i was jsust saying that that is incorrect so idk what your talking about

9. anonymous

So sorry, @Marc1313 . My mistake, I thought you were a third party for a second. Your answer is correct. Well done.

10. anonymous

Okay. thank you.

11. anonymous

wait which one is the answer @ospreytriple

12. anonymous

We worked it down to$x^3 = \left( \frac{ 1 }{ 2 } \right)^3$Since exponents are the same we can equate just the bases, i.e.$x=\frac{ 1 }{ 2 }$See how that works?