Question

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

Answer 1

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

Answer 2

this is on a con nexus test

Answer 3

@Icedragon50 cool? i dont even know what that is

Answer 4

Hello.

Answer 5

@zeesbrat3 Hi! think you can help?

Answer 6

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

Answer 7

Does that make sense?

Answer 8

Yeah, I think I understand.

Answer 9

The -1 turns positive, right?

Answer 10

then isn't it x^1/1?

Answer 11

Yes which is?

Answer 12

OH I see

Answer 13

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

Answer 14

Yep! Good job

Answer 15

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.

Answer 16

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.

Answer 17

Alright then

Answer 18

So what did you get for C?

Answer 19

is d also just x then?

Answer 20

Why is D x?

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

Yep

Answer 25

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?

Answer 26

Sure

Answer 27

I'll try to simplify C

Answer 28

so x^11

Answer 29

Well, not quite. There is the radical to consider

Answer 30

\[\sqrt[10]{x^{11}}\]

like that ?

Answer 31

Perfect!

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

It's already simplified

Answer 36

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

Answer 37

You're welcome