A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

(8xy^2/-12x^3y)^-3.

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is this the problem? |dw:1440992849116:dw|

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

    yes

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    First, let's simplify the fraction inside the parentheses.

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440993107283:dw|

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you understand that step?

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

    yes i do

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    A positive numerator divided by a negative denominator gives a negative result. That means the fraction is negative. 8 and 12 are both divisible by 4. 8/4 = 2, and 12/4 = 3. Then x/x^3 = 1/x^2 and y^2 /y = y. That simplified the fraction inside the parentheses.

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we get rid of the negative exponent. A negative exponent means flip the fraction. |dw:1440993362374:dw|

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

    yup got that

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The exponent went from -3 to 3 by flipping the fraction.

  11. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we need to raise the fraction to the 3rd power. To raise a fraction to a power, raise the numerator and the denominator to that power.

  12. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440993459272:dw|

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

    so i got -27x^6/8y^3

  14. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we have a product in the numerator and a product in the denominator. Each needs to be raised to the 3rd power. To raise a product to a power, raise each factor to the power. The negative sign is the same as a factor of -1.

  15. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Or just consider -3 to be a number and raise it to the 3rd power.

  16. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440993606186:dw|

  17. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Correct.

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

    thank you

  19. 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.