advanced algebra

posted by .

Q. x^-4/5=16 What is x Q. Suppose 0<a<1. Arrange the following from smallest to largest z^-a,z^a,z^1/a,z^-1/8.

  • advanced algebra -

    (x^4/5)^(5/4) = (1/16)^(5/4)
    x = 1/32

    your second is ambiguous

    the terms are
    (1/z)^a , z^a, z^(1/a) and (1/z)^(1/8)

    it depends on the value of z
    e.g. if z = 1, all terms have the same value
    if z>1
    let z = 4, a = .2
    (1/4)^.2 = .758
    4^.2 = 1.32
    4^(1/.2) = 1024
    (1/4)^(1/8) = .84

    arrange the terms according to the answers

    now what about 0< z < 1
    repeat my method and decide for that case

    if z < 0 , that is if z is negative you will run into all kinds of undefined situations when you take roots.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. **CHEM**

    Arrange the following elements in order of decreasing atomic radius: Cs, Sb, S, Pb, Se *(list from largest to smallest...or..."the correct ranking cannot be determined") ***I think the answer 'should be', from largest to smallest: …
  2. math

    arrange fractions from smallest to largest 3/7, 6/7, 1/7, -1/2, 2/7
  3. Chem21

    Rank these gases in order of increasing standard molar entropy: Column preview Smallest S Br2(g) Second smallest S F2(g) Second largest S I2(g) Largest S Cl2(g) Matching pairs Smallest S Second smallest S Second largest S Largest S
  4. Math

    Arrange from smallest to largest 3/7 1/7 5/7
  5. upland

    arrange 3/4, 1 1/6, 10/13, 1 1/3, 67/100 from smallest to largest
  6. Chem

    Arrange the following atoms in order of increasing size from smallest to largest. Phosphorus Fluorine Chlorine Sulfur
  7. CHEM

    Arrange the following in order of increasing atomic radii from smallest to largest. Mg Ra Sr Be Ca Ba
  8. Chemistry

    Doing some homework, are my answers right?
  9. math

    arrange smallest to largest 3/4,2/3,5/9,5/6
  10. Chemistry

    Which response presents ions in order of increasing atomic radius?

More Similar Questions