## anonymous one year ago dont know where to start, help please! will fan and medal! (2 questions)

1. anonymous

Which of the following expressions are equivalent? Justify your reasoning.

2. anonymous

this is on a con nexus test

3. anonymous

@Icedragon50 cool? i dont even know what that is

4. zeesbrat3

Hello.

5. anonymous

@zeesbrat3 Hi! think you can help?

6. zeesbrat3

Yes. When the exponent to a variable is negative, you find the reciprocal. Making B x

7. zeesbrat3

Does that make sense?

8. anonymous

Yeah, I think I understand.

9. anonymous

The -1 turns positive, right?

10. anonymous

then isn't it x^1/1?

11. zeesbrat3

Yes which is?

12. anonymous

OH I see

13. anonymous

wow, okay. so it's divide by 1, which make it just x^1 and x^1 is just x, right?

14. zeesbrat3

Yep! Good job

15. zeesbrat3

Now, you have to simplify the rest of the options to figure out which is equivalent. Once they are all simplified, it is easy to tell.

16. zeesbrat3

For C and D, you have to remember that when exponents are multiplied together, you add. When they are divided by each other you subtract. Since A is already simplified, you dont have to worry about that just yet.

17. anonymous

Alright then

18. zeesbrat3

So what did you get for C?

19. anonymous

is d also just x then?

20. zeesbrat3

Why is D x?

21. anonymous

because the exponents add up to 3/3, which is 1 right? or am i missing something

22. zeesbrat3

No you are correct, I was just making sure you knew why.

23. anonymous

Oh, thank you! So then it's x^1, (or just x) :D right??

24. zeesbrat3

Yep

25. anonymous

I'll still try the others, since it's just good to know how to do them. For future reference. If that's alright, could you make sure I get it right?

26. zeesbrat3

Sure

27. anonymous

I'll try to simplify C

28. anonymous

so x^11

29. zeesbrat3

Well, not quite. There is the radical to consider

30. anonymous

$\sqrt[10]{x^{11}}$ like that ?

31. zeesbrat3

Perfect!

32. anonymous

im not sure what to do with the radical... or is that all i can do to simplify?

33. zeesbrat3

Well, since it is technically x^10 * x^1, you can take the 10 out but it still wouldnt be equivalent to B.

34. anonymous

hm, alright then.. how about A then? can i do anything with that?

35. zeesbrat3

36. anonymous

Right. So then I guess I have my answer. Thank you so much for all of your help, it's really appreciated!

37. zeesbrat3

You're welcome