Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

Medal for each Explanation

OpenStudy (anonymous):

OpenStudy (igreen):

\(\dfrac{28s^{-5}}{4s}\) You will divide the whole numbers, and subtract the exponents. Whole numbers: 28, 4 Exponents, -5, 1 28 / 4 = 7 -5 - 1 = -6 Put them together: \(7s^{-6}\)

OpenStudy (anonymous):

which it 4/28 which is 7

OpenStudy (anonymous):

then im lost with the rest

OpenStudy (igreen):

\(7s^{-6} = \dfrac{7}{s^6}\) So A is incorrect.

OpenStudy (igreen):

You subtract the exponents (-5 and 1). Do you know what exponents are?

OpenStudy (anonymous):

yeah the letters which were called variables but now exponents

OpenStudy (igreen):

\(\dfrac{18w^{-8}}{3w}\) Divide whole numbers: 18 / 3 = 6 Subtract exponents: -8 - 1 = -9 Combine: \(6w^{-9}\)

OpenStudy (igreen):

Exponents are the SMALL numbers on top of variables. If there is a variable there is ALWAYS an exponent. Even though it might not show one over 'w' on the bottom, it still has an exponent of 1.

OpenStudy (anonymous):

alright i get that it makes sense so far so you got the 1 from one of the Exponents

OpenStudy (igreen):

Yes, and I got the -5 from the other exponent on the top.

OpenStudy (igreen):

Since \(6w^{-9}\) also equals \(\dfrac{6}{w^9}\) then B is correct.

OpenStudy (anonymous):

ok and since its -5 aganst a positive youre suppose to add which would make it 6

OpenStudy (igreen):

-6

OpenStudy (igreen):

You always subtract the exponents when dividing. So -5 - 1 = -6.

OpenStudy (anonymous):

so A is False BC and D are True

OpenStudy (igreen):

No, we've only gone over A and B. A is false. B is true.

OpenStudy (anonymous):

oh i know i just did the rest

OpenStudy (anonymous):

im a fast learner lol

OpenStudy (igreen):

24q^-5 / 2q Divide the whole numbers: 24 / 2 = 12 Subtract the exponents: -5 - 1 = -6 Combine: 12q^-6 or 12/q^6 So C is correct too.

OpenStudy (igreen):

Lol, let me check D.

OpenStudy (anonymous):

so am i correct by any chance

OpenStudy (igreen):

Yup, it's correct.

OpenStudy (igreen):

So B, C, and D are correct. And A is incorrect.

OpenStudy (anonymous):

YAY thank you so much you literally just taught me THAN YOU THANK YOU

OpenStudy (igreen):

Can you do Question 4?

OpenStudy (igreen):

Lol, np. Question 4 is very similar.

OpenStudy (anonymous):

I UNDERSTAND

OpenStudy (anonymous):

so would the 4th one be D by any chance

OpenStudy (igreen):

Yes, that's correct!!

OpenStudy (igreen):

Awesome, you've mastered it!

OpenStudy (anonymous):

but i have a question about whats the difference well what would make it different if it was the other way around

OpenStudy (igreen):

What do you mean by 'the other way around'?

OpenStudy (anonymous):

\[6ac^2\] like that what would make it that way

OpenStudy (anonymous):

and i got C for this one is that correct or D

OpenStudy (anonymous):

like those type of answer choices what would make them different wait would it make it that way if i was multiplying

OpenStudy (anonymous):

so it would actually be D for the 5th one because i had to subtract right

OpenStudy (igreen):

Hold on..

OpenStudy (anonymous):

lol sorry

OpenStudy (igreen):

The ration is the same thing as dividing..

OpenStudy (anonymous):

so am i correct with 5th one

OpenStudy (igreen):

It's C, yup.

OpenStudy (igreen):

It can't be D, because it would have to be a negative exponent, not a positive.

OpenStudy (anonymous):

so i was correct

OpenStudy (igreen):

Yes.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!