Book by Alison Warr Intermediate Course in Algebra (c. 2009), p.229 Problem #9

See Rule 4 of
http://usablealgebra.landmark.edu/algebra/exponents/rules.php and realize that it applies to fractional exponents.

See below for an example so that you have information you need to practice this solution.
1. To solve this, I had to re-write x as x^5/5. that is the (fifth root of x) to the fifth power.
2. Add the exponents, then simplify.

So the exponents in problem 9, (p.229) are
(-4/5) and (5/5) . Their sum equals (5-4)/5 = 1/5 . So I simplify to x^1/5 (Solution b) or the fifth root of x (Solution e).
x(-4/5) * x(5/5) = x(1/5).
Ta-da!

http://www.mathsisfun.com/algebra/exponent-fractional.html Example: What is 9½ × 9½ ?
9½ × 9½ = 9(½+½) = 9(1) = 9
So 9½ times itself gives 9.
What do we call a number that, when multiplied by itself, gives another number? The square root!
See:
√9 × √9 = 9
And:
9½ × 9½ = 9
So 9½ is the same as √9
---------------------- Try Another Fraction [go to that link at