Rational Exponents - Please Help!!!!

posted by .

I will appreciate it if anyone can help me with the following:

1. The optimal height h of the letters of a message printed on pavement is given by the formula . Here, h= (0.00252d^(9/4))/e d is the distance of the driver from the letters and e is the height of the driver’s eye above the pavement. All of the distances are in meters. Explain how to find h when d = 90 m and e = 1.4 m.

2.Simplify.

(27a^(-6) )^(-2/3)

For 2 I got 1/(9a^4 )as my answer, but can someone again please check this.

For 1 I think the answer is:

First, you replace the variables with 90 and 1.4 to get this equation: (0.00252∙〖90〗^(9/4))/1.4. Next, you turn the 〖90〗^(9/4)into ∜(〖90〗^9 ). Then, I turn ∜(〖90〗^9 )into 3∜(〖10〗^9 ), and simplify 3∜(〖10〗^9 )to 9∜10. Next, I divide o.oo252 by 1.4 to get 0.0018. Then, my next equation is: 0.0018∙9∜10. Finally, I multiply 0.0018 and 9 together to get 0.0162, and my final answer is 0.0162∜10.

If anyone can answer or help me for these two problems, please do. I will appreciate it even more if you can answer and/or check the problems as soon as possible. I have been waiting and trying to answer it for a long time. My mom wants me to get my lesson done on this topic today, and I am stuck at this point, which is really close to the end. I am willing to go step by step for each one until I get the right answer. Also, thank you if anyone can help or answer these two problems.

  • Rational Exponents - Please Help!!!! -

    Perhaps you need a personal tutoring session with your instructor.

  • Rational Exponents - Please Help!!!! -

    #1 (0.00252d^(9/4))/e
    = (0.00252*90^(9/4))/1.4
    90^(1/4) = ∜90 = 3.0801
    90^(9/4) = 3.0801^9 = 24948.5693
    So, we now have

    0.00252 * 24948.5693 / 1.4 = 44.9074

    If you visit wolframalpha.com you can play around with arbitrarily complex expressions, just to see how things combine.

    You went wrong starting here:
    Then, I turn ∜(〖90〗^9 )into 3∜(〖10〗^9 )
    Where did that 3 come from?
    ∜(〖90〗^9 ) = ∜(90^8 * 90) = 90^(8/4) * ∜90 = 90^2 * ∜90 = 8100∜90

    You seem to lose track of the pieces when factoring stuff out.

    #2
    (27a^(-6) )^(-2/3)
    27^(-2/3) * a^(-6 * -2/3)
    1/9 a^4
    a^4 / 9

  • Rational Exponents - Please Help!!!! -

    Thank you Steve. I will try to do better during these type of problems, I will even do it your way. Thank you again!

  • Rational Exponents - Please Help!!!! -

    hi

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    I have tried this problem over and over and just not getting how to do it can someone help I don't want the answer I just need showed how to do it. solve using the formula L 0.000169d^2.27/h where L is the proper length in feet of …
  2. Math

    Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 20sqrt(x^12)
  3. Math

    3) Explain how the laws of exponents work with rational exponents and give at least one example of an expression containing rational exponents... Please help.. I can't find the answer to this anywhere..
  4. rational exponents

    express the third root of(8a^3y^5) using rational exponents. Please show your work!
  5. calculus

    I've done the first question but I cannot get any farther. I'm so stuck. Please explain or just help me to figure out the next steps. A printed poster is to have a total area of 837 square inches with top and bottom margins of 7 inches …
  6. College Algebra

    I have a few more questions that I'm not understanding. Its multiple choice however I would appreciate a breakdown on how to solve. 4.Simplify the compound rational expression. Use either method. 1+(5/y-10)/y+(25/y-10) a. 1/y-5 b. …
  7. Simplify

    Simplify the following number. ∛729 I think it is ∛9, but I do not know. Please help, and check my answer. I will appreciate it if you guys can answer this as soon as possible. It is part of a RATIONAL EXPONENTS question. …
  8. More Rational Exponents!

    1. The optimal height h of the letters of a message printed on pavement is given by the formula . Here, h= (0.00252d^(9/4))/e d is the distance of the driver from the letters and e is the height of the driver’s eye above the pavement. …
  9. Rational Exponent - Formula/Equations

    Is there some equations and/or formula's that can help me when doing Rational Exponents?
  10. Algebra - can you PLEASE double check my work?

    Part A: Use the properties of exponents to explain why is called the fifth root of 18. 1. What property refers to roots and fractional powers?

More Similar Questions