## anonymous one year ago Rewrite the rational exponent as a radical. 5 to the 3 over 4 power, to the 2 over 3 power Answer Choices: A) the cube root of 5 squared B) the twelfth root of 5 C) the square root of 5 D)the cube root of 5 the fourth power I think it's A but im not sure, someone please help?

1. Nnesha

$\huge\rm (5^\frac{ 5 }{ 4 })^\frac{ 2 }{ 3 }$ like this ?

2. anonymous

@Nnesha Yes.

3. Nnesha

well can you take a screenshot i think i typed it wrong

4. anonymous

@Nnesha

5. anonymous

@Nnesha did you get it?

6. Nnesha

weird question .... why do you think it's A ?

7. anonymous

@Nnesha When I worked out the problem I some how ended up with A

8. Nnesha

well i didn't get A i got*NONE* ORR i'm not paying attention

9. Nnesha

@freckles ???

10. Nnesha

you have to apply exponent rule $\huge\rm (x^m)^n = x^{m \times n}$ multiply exponents and then reduce the fraction

11. anonymous

@Nnesha I did so, I did it 4 more times and got different answers each time. I have no idea anymore.

12. freckles

hey

13. freckles

hey @Nnesha he said to ...to the 3/4 power... but then he said yes when you put 5/4 instead...

14. freckles

$(5^{\frac{3}{4})\frac{2}{3}} =5^{\frac{3}{4} \cdot \frac{2}{3}}$ first look at the fraction multiplication action going on there: $\frac{3}{4} \cdot \frac{2}{3}$ can you simplify that?

15. freckles

basically you need to simplify 3/3 and 2/4

16. Nnesha

*facepalm* it's 3/4 >.<

17. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha $\huge\rm (5^\frac{ 5 }{ 4 })^\frac{ 2 }{ 3 }$ like this ? $$\color{blue}{\text{End of Quote}}$$ $$\color{blue}{\text{Originally Posted by}}$$ @06292014 @Nnesha Yes. $$\color{blue}{\text{End of Quote}}$$ ......

18. anonymous

wow my mistake guys :/ im so sorry

19. Nnesha

20. freckles

does @06292014 still need help? if so have you done the multiplication I asked about?

21. anonymous

@freckles I got 1/2

22. freckles

cool so you have 5^(1/2)

23. freckles

which is the same as square root of 5

24. anonymous

@freckles @Nnesha thank you so much both of you for your help!

25. anonymous

@Nnesha @freckles

26. freckles

look at the exponents do top exponent - bottom exponent

27. Nnesha

i can't zoomin in this pdf http://assets.openstudy.com/updates/attachments/557890d9e4b0636b8cc2974f-06292014-1433965330041-cuserspattydocumentsscreenshot.pdf and people like me barely can see this^ ;P

28. Nnesha

and write these down 'n ur notes $\huge\rm x^m \times x^n = x^{m+n}$$\large\rm (x^m)^n =x^{m \times n}$$\large\rm \frac{ x^m }{ x^n }= x^{m-n}$