## anonymous one year ago Which expressions are equivalent to the one below? Check all that apply. 10x A. 50x/5x B. 10 • 10x - 1 C. 10 • 10x + 1 D. 50x/5 E. (50/5)x F. x5

1. anonymous

Imagine if the variable x were to be equivalent to 1 or 2. Input that into 10x (giving you 10 or 20) then try that same method on the answer choices and the answer will be the one that matches your 10x :)

2. anonymous

but three are correct

3. Australopithecus

It says, Check all that apply. that means there are more than one right answer

4. Australopithecus

Which ones do you think are correct?

5. anonymous

a, d, and e?

6. Australopithecus

$\frac{x}{x} = 1$

7. Australopithecus

do you follow?

8. anonymous

no.. i don't get these

9. mLe

a number divided by itself would be 1 so x/x would become 1 times what ever else was attached to it and there would be no x left ("a" cough)

10. Australopithecus

Well you are mostly right. You seem to get this :) dont be so critical. what I am trying to say is variables divide out. Exponent rules: $x^{0} = 1$ anything to the power of 0 is equal to 1 $x^{1} = x$ $x^{2} = x*x$ $x^{3} = x*x*x$ etc $x^{a}x^{b} = x^{a+b}$ $\frac{x^{a}}{x^{b}} = x^{a}x^{-b} = x^{a + (-b)} = x^{a - b}$ $x^{-1} = \frac{1}{x^1} = \frac{1}{x}$ $\frac{1}{x^{-1}} = x^{1} = x$ Examples: $\frac{34x^2}{x} = 34x$ $x^5x^3 = x^{5+3} = x^{8}$

11. Australopithecus

more examples: anything raised to the power of 0 is 1: $(3 + x + 3b)^{0} = 1$ $\frac{(3+x)}{x+2} = (3+x)(x+2)^{-1}$

12. Australopithecus

does this help?

13. anonymous

It takes me so long to comprehend math

14. anonymous

do the answers have to equal the same thing?

15. Australopithecus

yes

16. Australopithecus

they all have to equal 10x

17. Australopithecus

Look at your answers and then look at the rules I gave you

18. Australopithecus

you are on the right track :)

19. anonymous

so i would still go with those answers

20. anonymous

i don't see why I wouldn't?

21. Preetha

ThatGirl, please don't forget to rate Australopithecus so he can get his reward!

22. mLe

@thatgirlaggie Reconsider choice A 50x/5x can be rewritten as (50/5)*(x/x) as mentioned, (x/x)=1 and since 50/5 = 10 (50/5)*(x/x) would equal 10 (no x)

23. Australopithecus

your answers are: $\frac{50x}{5x}$ $\frac{50x}{5}$ $(\frac{50}{5})x$ Multiplication of fraction rule: Note you can divide anything by 1 to make it into a fraction: $x = \frac{x}{1}$ example: $62 = \frac{62}{1}$ Multiplication of fractions rule: $\frac{a}{b}*\frac{b}{c} = \frac{a*b}{b*c}$ example using both $\frac{52x}{3}*52 = \frac{52x}{3}*\frac{52}{1} = \frac{52x*52}{3*1}$

24. Australopithecus

I am giving you rules so you can do these problems I hope that you take the time to review them, it should help you quite a bit, note a, b an x are all just numbers

25. anonymous

I'm reviewing them and I see what you're saying

26. Australopithecus

But yes the answer is D and E $\frac{50x}{5x} = 10*x^{1-1} = 10*x^{0} = 10 \neq 10x$

27. anonymous

so because A has two x's, there are only two answers?

28. Australopithecus

yes

29. anonymous

i'd say d and e and feel like an idiot now that i get it THANK YOU!!

30. Australopithecus

the x cancels out in one of them and you end up with just 10

31. mLe

A has x's that cancel out which is why it does Not work :)

32. mLe

Don't forget to Rate @Australopithecus for their wonderful help :)

33. anonymous

how do I rate you?

34. mLe

top of screen, orange box, "Rate a Qualified Helper"

35. Australopithecus

Yeah algebra is pretty simple, I recommend looking up alebra rules and to look at them as you work through these problems. It should help you significantly

36. anonymous

That was wrong

37. anonymous

it was A, C, and E

38. Australopithecus

Well they made a mistake lol

39. Australopithecus

40. anonymous

it's a computer. Apex

41. mLe

could there have been any typos in your question/options?

42. mLe

perhaps the ^2 did not come through a copy paste in 50x^2/5x ?

43. Australopithecus

perhaps

44. Australopithecus

If that is exactly how it is written and you are being graded by this you should contact their support.

45. Preetha

A,C and E can't be right. Check your question. (-:

46. anonymous

what is this section of questions?

47. Preetha

Great explanation Australopithecus!

48. Australopithecus

Thank you Preetha