Question

Choose the correct simplification of the expression 4/y-3

Answer 1

-3 is an exponet

Answer 2

can u help?

Answer 3

Yes.
Whenever you have a fraction, and negative exponents, you can bring something up or down and change the sign of the exponent.

So when you have a negative exponent in the numerator, you can bring it down and turn it positive.
When you have a negative exponent in your denominator, you can bring it up and turn it positive.

Answer 4

okay how do i do that?

Answer 5

Here, example...
\[\huge \frac{a}{b^{-n}}\]
You can bring the b up, and then change the sign of n...
\[\huge \color{blue}{ab^n}\]

Answer 6

was the expression already simplified?

Answer 7

That's simplified, I guess. No more fraction bars...
in your case
\[\huge \frac4{y^{-3}}\]
You can do to the y the same thing I did to the b in my example.

Answer 8

oh because thats one of the options so would that be the answer or should we simplify it more?

Answer 9

It can be simplified. You can bring up the y. The same thing I did to the b in my example
\[\huge \frac{a}{\color{red}{b^{-n}}}=a\color{blue}{b^n}\]

Answer 10

so 4y-3?

Answer 11

Is it? What happened to the n when I brought the b up?

Answer 12

its an exponet

Answer 13

Yeah, I know, but when it was in the denominator, n was negative, but when I brought it up...?

Answer 14

its positve

Answer 15

that's right. So what should happen to the exponent -3 when you brought up the y?

Answer 16

oooohhh its positive so 4y3

Answer 17

so thats the answer?

Answer 18

@terenzreignz

Answer 19

Yup. Good job.