## anonymous 5 years ago is anyone good with rational exponents??

1. toxicsugar22

yes

2. amistre64

maybe

3. anonymous

ahh can you help me with this equation: 3^1/3*9^1/3

4. anonymous

probably

5. anonymous

factor out the 1/3 because they are the same exponent so you have (3*9)^1/3 which is like the cube root of 27 which is 3

6. anonymous

i think the answer is 3sq rt of 3?

7. toxicsugar22

i dont know tht

8. anonymous

THANK YOU dancr_on_fire!! :)

9. anonymous

no problem... i always find it easier to think of factional exponents like roots

10. amistre64

(3.3.3)^1/3 = 3, good job dancr

11. anonymous

12. anonymous

how would i simplify 8^4/3

13. anonymous

cube root of 8 is 2, 2^4 = 16

14. anonymous

15. anonymous

with this you multiply your exponents first

16. anonymous

multiply the exponents first: $(8a^{-6})^{-\frac{2}{3}}=8^{-\frac{2}{3}}a^4$

17. anonymous

satellite73 you are the best! are you good with finding LCM?

18. anonymous

of polynomials

19. anonymous

in english $8^{-\frac{2}{3}}$ means the reciprocal of the cube root of 8 squared. the cube root of 8 is 2. 2 squared is 4. and the reciprocal of 4 is $\frac{1}{4}$ so answer is $\frac{a^4}{4}$

20. anonymous

example?

21. anonymous

okay, 400x^2-4y^2, 20x^2+2^yx

22. anonymous

do you really mean lcm? because these are sums and difference. ok factor each one. $400x^2-4y^2=4(100x^2-y^2)$which is the difference of two squares. $=4(10x-y)(10x+y)$

23. anonymous

$20x^2+2y^2=2x(10x+y)$

24. anonymous

so for your least common multiple you need all the factors you see, not repeated!

25. anonymous

the factors are $4$ $x$ $10x-y$ $10x+y$

26. anonymous

okayyy i see! that makes sense!

27. anonymous

multiply together to get $4x(10x+y)(10x-y)$ hope it is clear. same way to find lcm of two numbers.

28. anonymous

can you help me with writing this next one in radical form? 6x^3/2

29. anonymous

yes that makes way better sense now!

30. anonymous

$x^{\frac{m}{n}}=\sqrt[n]{x^m}$

31. anonymous

for a fractional exponent, numerator is the power, denominator is the root.

32. anonymous

$6x^{\frac{3}{2}}=6\sqrt{x^3}$\]

33. anonymous

check out the paper i sent should make it clear.

34. anonymous

okay lemme check it out! thank you!

35. anonymous

are you always online? cause you are the biggest help! hopefully you can help me again soon!

36. anonymous

i am often here these days practicing my latex. if you want you can email me at satellite73.openstudy@gmail.com

37. anonymous

perfect! i am trying to finish an online math class by tomorrow in order to be able to graduate...i have about 70% more to complete! so youre a big help!