## izhangy 2 years ago what is 4^(3/2)? How do you show work for it?

1. Luigi0210

It's the same as: $\sqrt[2]{4^3}$

2. Luigi0210

What's 4^3?

3. izhangy

oh alright, 4^3=64...

4. klimenkov

What is $$\sqrt 4$$ ?

5. Luigi0210

Yes, now what's $\sqrt{64}$

6. Luigi0210

@klimenkov 's method would of worked too

7. izhangy

8

8. Luigi0210

9. izhangy

alrighty what is 8^(2/3)?

10. Luigi0210

what's 8^2?

11. izhangy

64

12. Luigi0210

and what's $\sqrt[3]{64}$

13. izhangy

ohhhh 4

14. Luigi0210

Yup!

15. izhangy

thanks dood

16. klimenkov

I think i would be easier to compute $$8^{\frac13}$$ first.

17. izhangy

ohh dood 1 more please

18. izhangy

what is √(8)/2^(1/2)?

19. Luigi0210

Is that 1/2 with the whole equation or just 2?

20. izhangy

sq root 8 divided by 2 to the half power

21. Luigi0210

Well the 1/2 makes that 2 a rad 2: $\frac{\sqrt{8}}{\sqrt{2}}$ Now what does $\sqrt{8}$ simplify into?

22. izhangy

2√(2)

23. Luigi0210

Yup! $\frac{2\sqrt{2}}{\sqrt{2}}$ Can you finish it?

24. izhangy

2, right?

25. Luigi0210

Mhm :)

26. izhangy

thanks bro

27. izhangy

do you know how to calculate average rate of change?

28. Luigi0210

Anytime. Average rate of change? As in calculus?

29. izhangy

yes :D

30. Luigi0210

Sorry, I haven't had calculus for a while :/ just open a new question and call Nincompoop, he's great at calculus

31. izhangy

ah alrighty thanks dood.

32. Luigi0210

Yup, and if he's not on call dan815

33. izhangy

kk