A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

What is the simplified form of 24 y to the fifth power over 15 x to the eighth power divided by 8 y squared over 4 x to the fourth power ? 4 y cubed over 5 x to the fourth power 4 y to the fourth power over 5 x cubed 5 x to the fourth power over 4 y cubed 5 x cubed over 4 y to the fourth powerus 3y

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ 24y ^{5} }{ 15x ^{8} } \div \frac{ 8y ^{2} }{ 4x ^{4} }\]

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @iGreen

  3. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We can flip the 2nd fraction and multiply..

  4. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\sf \dfrac{24y^5}{14x^8} \div \dfrac{8y^2}{4x^4} \rightarrow \dfrac{24y^5}{14x^8} \times \dfrac{4x^4}{8y^2}\)

  5. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Then multiply the numerators and denominators together. \(\sf \dfrac{24y^5}{14x^8} \times \dfrac{4x^4}{8y^2} \rightarrow \dfrac{24y^5 \times 4x^4}{14x^8 \times 8y^2}\)

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay then what? do u have to cross multiply or horizontally multiply

  7. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I just showed you, we do it horizontally..we only cross multiply when we have an equal sign between the fractions.

  8. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you simplify \(\sf \dfrac{24y^5 \times 4x^4}{14x^8 \times 8y^2}\) ?

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah but non of those are my nswer choies can you simplify it even further if possible?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah i think so

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but how would you simplify it further because i know you can reduce it

  12. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hold on

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    k

  14. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, first we divide the numbers on the second fraction, \(\sf \dfrac{8y^2}{4x^4}\).

  15. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    8 / 4 = ?

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2

  17. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, so we have \(\sf\dfrac{2y^2}{x^4}\).

  18. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now simplify \(\sf\dfrac{24}{15}\) from \(\sf\dfrac{24y^5}{15x^8}\).

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    8y^5 / 3x^8

  20. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Check again

  21. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\sf 8\) is correct, but \(\sf 3\) is not..

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    would it be 5

  23. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes.

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  25. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So we have: \(\sf \dfrac{8y^5}{5x^8} \div \dfrac{2y^2}{x^4}\)..now we cross multiply(I was wrong earlier..lol)

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay np give me a sec o do that plz

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    would it be 8y^5 x^4 / 5x^8 2y^2

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but if we simplify it would the final answer be \[\frac{ 4y^3 }{ 5x^4 }\]

  29. iGreen
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yep, you got it.

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx

  31. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.