# Fractions, Exponents, and x

1. Sep 14, 2009

### tunaizgood

Fractions, Exponents, and x :(

I simply just don't get fractions and exponents
i was given this problem:
[6x^(4/5)-3x(2/3)]/3x^(1/3)
i haven't gotten anywhere and i'm stuck
help

2. Sep 14, 2009

### arildno

Re: Fractions, Exponents, and x :(

What problem?

What are you supposed to do?

All you have done so far is to present an expression.
What are you supposed to do with it?

Paint the expression on a subway station, perhaps?
(That would be easy, but technically illegal)

3. Sep 14, 2009

### HallsofIvy

Staff Emeritus
Re: Fractions, Exponents, and x :(

Is there supposed to be a "^" before the 2/3?

So this is
$$\frac{6x^{\frac{4}{5}}- 3x^{\frac{2}{3}}}{3x^{\frac{1}{3}}}$$
and you want to simplify it? I would start by factoring out a "3"
$$\frac{3(2x^{\frac{4}{5}}- x^{\frac{2}{3}})}{3x^{\frac{1}{3}}}$$
$$=\frac{2x^{\frac{4}{5}}- x^{\frac{2}{3}}}{x^{\frac{1}{3}}}$$
Now write the $x^{1/3}$ in the denominator as $x^{-1/3}$ in the numerator and use the "laws of exponents": $x^ax^b= x^{a+b}$