## anonymous one year ago I need help this is sooo hard 8th grade math!

1. anonymous

it is hard, isn't it?

2. anonymous

aalright haha im sure if you tae it in steps everything willl be simplar

3. anonymous

What is the value of the expression $\frac{ 1 }{ 4^{-3}}$

4. anonymous

alright easy lets start by looking at the problem

5. anonymous

a.12 b.64 c. 1/64 d. 1/12

6. anonymous

we have a 4^-3 in the denominator. what does that tell you?

7. anonymous

Its either a or b

8. anonymous

umm idk

9. anonymous

10. anonymous

alright i will let you know a nice rule. when you bring a number from the denominator to the numerator you slip the exponent

11. anonymous

so something like 1/5^-2 = 5^2

12. anonymous

do you understand?

13. anonymous

no

14. anonymous

ok thats fine. its just a rule. i just want to make sure you know 5^2 is 5 squared

15. anonymous

do you understand that?

16. anonymous

yes

17. anonymous

alright cool

18. anonymous

so with your problem we have 1/4^-3

19. anonymous

we bring the 4^-3 to the numerator

20. anonymous

and we get?....what?

21. anonymous

umm

22. anonymous

...

23. anonymous

ok with our rule we change the sign of the exponent

24. anonymous

so what is it?

25. anonymous

4* -3 ???????

26. anonymous

oh i see what you are confused about. when i am talking about sign i mean positive or negative

27. anonymous

so all i mean by change the sign of the exponent is change it from -3 to 3

28. anonymous

so you have just 4^3

29. anonymous

now what is 4 to the power of 3?

30. anonymous

Its 64!

31. anonymous

tysm for helping me!

32. anonymous

you are welcome please look over notes on this

33. anonymous

its essential on later math problems you will have i highschool

34. anonymous

SO happy!

35. anonymous

im in the us

36. anonymous

well i mean like algebra and pre calc it makes things easier if you know basic stuff like this