Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Tony.M

(b^4)^6 * (b^2)^4 Simplify ? i need help

  • one year ago
  • one year ago

  • This Question is Closed
  1. kirbykirby
    Best Response
    You've already chosen the best response.
    Medals 1

    (b^4)^6=b^24 (b^2)^4=b^8 b^24*b^8 = b^32 When you have the form (a^x)^y... u multiply the exponents so a^(xy) When you have the form b^x*b^y, you add the exponents so b^(x+y)

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

    ok so does the formula stay the same if the problem read (k^3d^5)^5 ? im getting a bit confused on this one

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

    yes you "distribute" the ^5... so you get k^15 * d^25

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

    you can't simplify further since you have 2 different variables

    • one year ago
  5. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks so much :) could you help me with a area and dimensions problem?...i dont want the answer i just want to know how to set up the problem

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

    I could try my best :)

    • one year ago
  7. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. how would i find what dimensions he should use and what the area would be

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

    Is this a calculus question

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

    yea i think so

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

    Ok so you want to maximize the area of the rectangle. The area of a rectangle is A=b*L (area=base*length). We know the perimeter of a rectangle is 2(b+L)=188. Since you want to maximize A, you want to express A with only one variable. So, you use the perimeter equation above and solve, for say L, and substitute the expression for L into your Area formula. So now you have an equation A = ... (which only has one variable "b"). So, know you just differentiate your function and setting it equal to 0 to find the critical points. Make sure you only consider actual physical values (if you get a negative value, for example, ignore it since you can't have a negative length). So, then you evaluate your function A = ... at the critical points and determine which value gives the largest value for A. This will be your maximum area.

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

    I hope that's clear :S

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

    It's funny you ask this question because I have a review assignment for another class based on first year calculus and the problem I am attacking now is an optimization problem as well :P

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

    Oh wait I partially answered the question... You are asking for the dimensions. So, the process I told you will let you find "b". So with that, you can plug is the value for b in the perimeter equation 2(b+L)=188 and solve for L to get the length

    • one year ago
  14. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    its very clear just hard to understand because i have ADD which makes it kind of hard to read everything without forgetting -_- im going to test it and post my answer can you tell me if im right?

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

    Ok sure

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

    i got 8,811 ft^2 ?

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

    Um I got 2209

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

    :/ i went wrong somewhere

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

    If you think of it in a simple way, although this depends if your prof talked about it or not, but the greatest area rectangle you can get is always a square. So 188 = 4c (c = side of a square) so c = 47. So each side is 47 ft. The area of a square = c^2 = 47^2 = 2209

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

    Do you know how u got 8811?

    • one year ago
  21. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    thats what i just got 47X47 47; 2,209 ft2 :) i went back over your steps..maths so hard !

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

    Yay awesome :)!

    • one year ago
  23. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    one more favor ...can you help me simplify an expression? i pretty much got the rest

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

    Ok sure

    • one year ago
  25. Tony.M
    Best Response
    You've already chosen the best response.
    Medals 0

    4x^2y^7 over 24x^3y^4

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

    \[\frac{ 4x^2y^7 }{ 24x^3y^4 }=\frac{ 1x^{2-3}*y^{7-4} }{ 6 }=\frac{ x^{-1}*y^{3} }{ 6 }=\frac{ y^{3} }{ 6x }\]

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

    THANKS SO MUCH! wish i could give you a million medals :)

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

    hm ok the numbers look small but it says x^(2-3) in the second "="

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

    :) No problem!

    • one year ago
    • Attachments:

See more questions >>>

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.