## miah 2 years ago what is the simplest form for 3^√32

1. miah

@aajugdar @SandeepReddy

2. aajugdar

what is this?

3. SandeepReddy

Can you write it using Equation tab

4. aajugdar

the power is root 32?

5. aajugdar

okay @SandeepReddy you take it from here m off

6. SandeepReddy

Equation tab is near bottom right of commenting box

7. aajugdar

good night (:

8. SandeepReddy

Okay @aajugdar

9. SandeepReddy

@aajugdar you must be indian?

10. aajugdar

yep

11. SandeepReddy

Im too AP

12. miah

$\sqrt[3]{32}$

13. miah

@SandeepReddy

14. SandeepReddy

32 can be written as 2*16 =2*2*8 = 2*2*2*4 =(2^3)*4 right

15. miah

uhm ?

16. SandeepReddy

$\sqrt[a]{x^b} =x ^{b/a}$

17. SandeepReddy

Do u knw this?

18. miah

no

19. SandeepReddy

That is the relation we have in real numbers Remember it!

20. miah

ohkay lol

21. SandeepReddy

now 32 can be written as $32 = 2^5$

22. SandeepReddy

$\sqrt[3]{2^5} = 2^{\frac{ 5 }{ 3 }}$

23. miah

ohkay

24. miah

25. SandeepReddy

yes

26. miah

thanks. I have one more, if you dont mind...

27. SandeepReddy

Can be xpressed in so many other ways though!

28. SandeepReddy

$2\sqrt[3]{4}$