## anonymous one year ago NEED INSTANT HELP PLEASE PLEASE PLEASE MEDAL AND FAN: Is the expression x^3timesx^3timesx^3 equivalent to x^3times^3times^3 ? Why or Why not, explain your reasoning.

1. xapproachesinfinity

what the heck does x^3times^3times^3 mean?

2. anonymous

x to the third multiplied

3. xapproachesinfinity

you want what $$x^3.x^3.x^3$$ this is the first part

4. anonymous

yes

5. xapproachesinfinity

you want to see if it is equivalent to what?

6. xapproachesinfinity

use the drawing to write what you meant that is vague the way you wrote it

7. anonymous

ok

8. anonymous

|dw:1439924092560:dw|

9. xapproachesinfinity

do you mean is it equivalent to $$x^{3\times 3 \times 3 }$$

10. anonymous

yes and why

11. xapproachesinfinity

it is not equivalent

12. xapproachesinfinity

what is x^3?

13. xapproachesinfinity

it is xtimesxtimesx right

14. anonymous

yes

15. xapproachesinfinity

so we have $$x.x.x.x.x.x.x.x.x=?$$

16. anonymous

for the first or second equation?

17. xapproachesinfinity

i just wrote x^3 as xtimesxtimesx the definition of exponent

18. anonymous

because its asking me if the two different equations are equivalent and then why or why not

19. xapproachesinfinity

first of course we are trying to see why it is not equivalent to second

20. anonymous

ok

21. xapproachesinfinity

now accordding to what i did we should get x^9 for the first (this the definition of exponent) when we have $$a^n\times a^m=a^{n+m}$$

22. xapproachesinfinity

that is why $$x^3\times x^3\times x^3=x^9$$

23. anonymous

oh ok so thats the answer for the first one ?

24. xapproachesinfinity

now the second is different $$x^{3\times 3\times 3}=x^{27}$$

25. anonymous

why did you multiply the exponents on the second one but added them ump on the first?

26. xapproachesinfinity

and since x^9 does not equal x^27 then they are not equivalent at all

27. xapproachesinfinity

because that is multiplication on the exponent buddy

28. anonymous

ok i was just wondering thanks

29. xapproachesinfinity

well it said x^{3x3x3} so just multiply

30. xapproachesinfinity

no problem

31. anonymous

ok thanks for you help!

32. xapproachesinfinity

:)