# Homework Help: Solving a Rational exponent(simplify)

1. May 23, 2012

### DPXJube

1. The problem statement, all variables and given/known data
Simplify. Write as positive exponent

c(c^5/6)/c^2

2. Relevant equations
None really, just exponent laws.

3. The attempt at a solution
c(c^5/6) comes out as.....
c^5/6
Dividing exponents requires subtracting them so...
5/6 - 2/1
Find common denominator...
5/6 - 12/6
Equals
-7/6
Turning the whole thing into
c^-7/6

This is completely wrong though as the answer is apparently

1/c^1/6
I would like to know how one comes to this conclusion please.

2. May 23, 2012

### SammyS

Staff Emeritus
See correction in red.

3. May 23, 2012

### DPXJube

Could you explain to me where exactly that fraction came from?

4. May 23, 2012

### SammyS

Staff Emeritus
1 + 5/6 = 11/6

5. May 24, 2012

### HallsofIvy

Well, those are "relevant equations"!

What?? c(c5/6)= c5/6 if and only if c= 1.
c1c5/6= c1+ 5/6

That's a very strange statement! Dividing the numbers requires subtracting the exponents.