Question

Choose the correct simplification of 3 over x to the power of negative 7.

x to the 7th power over 3

3 over x to the 7th power

3x7

Already simplified.

Answer 1

Any ideas?

Answer 2

$$\huge \frac{3}{x^{-7}}$$

Answer 3

wht i dont get it?

Answer 4

Is that the expression you want to simplify?

Answer 5

I think so

Answer 6

You should make sure that you have the right question first, no?

Answer 7

can u just help me with the solution

Answer 8

yes, if you make sure you have the right question please :-)

Answer 9

yes i think i know the right question

Answer 10

OK, let's start with what a negative exponent means.

Answer 11

postive

Answer 12

postive?

Answer 13

7

Answer 14

Yes.

Answer 15

so what does it means

Answer 16

You said "7"

Answer 17

I assume you know what you mean when you said it

Answer 18

Maybe you just guessed at the answer?

Answer 19

If you were guessing that the -7 becomes +7 then you are right.

Answer 20

What did you base that guess on?

Answer 21

no the positive 7 i didn't guess it

Answer 22

$$\huge\frac {3}{x^{-7}}=?$$

Answer 23

I'm only here to help you learn, I can't learn for you.

Answer 24

so it \[\frac{ 3 }{ x ^{7} }\]

Answer 25

Nope. Try to use what you know about negative exponents...

Answer 26

$$\huge a^{-n}=\frac{1}{a^n}$$

Answer 27

Have you seen this definition before?

Answer 28

yes i think so

Answer 29

Try to apply it to your question please.

Answer 30

is it \[\frac{ x ^{7} }{ 3 }\]

Answer 31

$$\huge\frac {3}{x^{-7}}=\frac{3}{\frac{1}{x^7}}$$

Answer 32

Do you see how I used the definition on $$x^{-7}$$in the denominator?

Answer 33

so its already simplified.

Answer 34

Nope.

Answer 35

wait its \[3x ^{7}\]

Answer 36

Yes, by multiplying the numerator and the denominator by $$x^7$$ you get the simplification: $$3x^7$$

Answer 37

so i was right

Answer 38

so its c right just to make sure

Answer 39

Yes.

Answer 40

thank u

Answer 41

Thanks for trying to learn something new.

Answer 42

okay