## anonymous 4 years ago Simplify. Express the quotient as a rational exponent. x to the 4 fifths power over x to the 1 third power

1. anonymous

Is this it? $x^{4/5} \over x^{1/3}$

2. anonymous

yes

3. anonymous

http://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx Property 3. a^m/a^n = a^(m-n)

4. anonymous

Get both fractions so that they have a common denominator and then subtract them.

5. anonymous

is it x 4/15?

6. anonymous

$x^{4/5}x^{-1/3}$

7. anonymous

I think like x^7/15

8. anonymous

x 3/2?

9. anonymous

here are my options: x3/2 x7/15 x17/15 x4/15

10. anonymous

bri is right the exponent is 4/5 - 1/3

11. anonymous

so 3/2

12. anonymous

remember how to subtract fractions? Least common denominator?

13. anonymous

fancy way of saying make the numbers on the bottom the same before you can subtract

14. anonymous

What's 12/15 - 5/15?

15. anonymous

7/15 okay i understand now

16. anonymous

Make sure you know how to add and subtract fractions, it's very important.

17. anonymous

good luck!