## mscrosscountry 3 years ago Simplify. Express the quotient as a rational exponent. x to the 4 fifths power over x to the 1 third power

1. philips13

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

2. mscrosscountry

yes

3. brinethery

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

4. brinethery

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

5. mscrosscountry

is it x 4/15?

6. philips13

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

7. brinethery

I think like x^7/15

8. mscrosscountry

x 3/2?

9. mscrosscountry

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

10. philips13

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

11. mscrosscountry

so 3/2

12. philips13

remember how to subtract fractions? Least common denominator?

13. philips13

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

14. brinethery

What's 12/15 - 5/15?

15. mscrosscountry

7/15 okay i understand now

16. brinethery

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

17. brinethery

good luck!