Posted by roy on Thursday, April 8, 2010 at 9:07pm.
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 - Reiny, Thursday, April 8, 2010 at 9:45pm
(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
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.
Answer this Question
- **CHEM** - Arrange the following elements in order of decreasing atomic radius: ...
- CHEM - Arrange the following in order of increasing atomic radii from smallest ...
- Chem21 - Rank these gases in order of increasing standard molar entropy: Column ...
- Chemistry - Doing some homework, are my answers right? HCN= Polar HCOOH= Polar ...
- Chem - Arrange the following atoms in order of increasing size from smallest to ...
- Math - Arrange from smallest to largest 3/7 1/7 5/7
- upland - arrange 3/4, 1 1/6, 10/13, 1 1/3, 67/100 from smallest to largest
- math - arrange fractions from smallest to largest 3/7, 6/7, 1/7, -1/2, 2/7
- math - how do I arrange these fraction or mixed numbers in order from smallest ...
- intermediate algebra - A triangle is such that the largest angle is 11 times ...