dont know where to start, help please! will fan and medal! (2 questions)

- anonymous

dont know where to start, help please! will fan and medal! (2 questions)

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- anonymous

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

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- anonymous

this is on a con nexus test

- anonymous

@Icedragon50 cool? i dont even know what that is

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## More answers

- zeesbrat3

Hello.

- anonymous

@zeesbrat3 Hi! think you can help?

- zeesbrat3

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

- zeesbrat3

Does that make sense?

- anonymous

Yeah, I think I understand.

- anonymous

The -1 turns positive, right?

- anonymous

then isn't it x^1/1?

- zeesbrat3

Yes which is?

- anonymous

OH I see

- anonymous

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

- zeesbrat3

Yep! Good job

- 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

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

Alright then

- zeesbrat3

So what did you get for C?

- anonymous

is d also just x then?

- zeesbrat3

Why is D x?

- anonymous

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

- zeesbrat3

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

- anonymous

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

- zeesbrat3

Yep

- 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

Sure

- anonymous

I'll try to simplify C

- anonymous

so x^11

- zeesbrat3

Well, not quite. There is the radical to consider

- anonymous

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

- zeesbrat3

Perfect!

- anonymous

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

- 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

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

- zeesbrat3

It's already simplified

- anonymous

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

- zeesbrat3

You're welcome

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