anonymous
  • anonymous
dont know where to start, help please! will fan and medal! (2 questions)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Which of the following expressions are equivalent? Justify your reasoning.
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anonymous
  • anonymous
this is on a con nexus test
anonymous
  • anonymous
@Icedragon50 cool? i dont even know what that is

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zeesbrat3
  • zeesbrat3
Hello.
anonymous
  • anonymous
@zeesbrat3 Hi! think you can help?
zeesbrat3
  • zeesbrat3
Yes. When the exponent to a variable is negative, you find the reciprocal. Making B x
zeesbrat3
  • zeesbrat3
Does that make sense?
anonymous
  • anonymous
Yeah, I think I understand.
anonymous
  • anonymous
The -1 turns positive, right?
anonymous
  • anonymous
then isn't it x^1/1?
zeesbrat3
  • zeesbrat3
Yes which is?
anonymous
  • anonymous
OH I see
anonymous
  • anonymous
wow, okay. so it's divide by 1, which make it just x^1 and x^1 is just x, right?
zeesbrat3
  • zeesbrat3
Yep! Good job
zeesbrat3
  • 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.
zeesbrat3
  • 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.
anonymous
  • anonymous
Alright then
zeesbrat3
  • zeesbrat3
So what did you get for C?
anonymous
  • anonymous
is d also just x then?
zeesbrat3
  • zeesbrat3
Why is D x?
anonymous
  • anonymous
because the exponents add up to 3/3, which is 1 right? or am i missing something
zeesbrat3
  • zeesbrat3
No you are correct, I was just making sure you knew why.
anonymous
  • anonymous
Oh, thank you! So then it's x^1, (or just x) :D right??
zeesbrat3
  • zeesbrat3
Yep
anonymous
  • 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?
zeesbrat3
  • zeesbrat3
Sure
anonymous
  • anonymous
I'll try to simplify C
anonymous
  • anonymous
so x^11
zeesbrat3
  • zeesbrat3
Well, not quite. There is the radical to consider
anonymous
  • anonymous
\[\sqrt[10]{x^{11}}\] like that ?
zeesbrat3
  • zeesbrat3
Perfect!
anonymous
  • anonymous
im not sure what to do with the radical... or is that all i can do to simplify?
zeesbrat3
  • zeesbrat3
Well, since it is technically x^10 * x^1, you can take the 10 out but it still wouldnt be equivalent to B.
anonymous
  • anonymous
hm, alright then.. how about A then? can i do anything with that?
zeesbrat3
  • zeesbrat3
It's already simplified
anonymous
  • anonymous
Right. So then I guess I have my answer. Thank you so much for all of your help, it's really appreciated!
zeesbrat3
  • zeesbrat3
You're welcome

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