## anonymous one year ago Simplify square root of 2 multiplied by the cube root of 2. http://prntscr.com/8cy8lg

1. Nnesha

you can write root to an exponent form $\huge\rm \sqrt[n]{x^m} =x^\frac{ m }{ n }$

2. anonymous

what is that? ;l

3. Nnesha

example exponent rule

4. anonymous

im not understanding , sorry .

5. Nnesha

m represent exponent of variable and n = root number

6. Nnesha

for example $\huge\rm \sqrt[3]{g^2} = g^{2 ( \frac{ 1 }{ 3 })}$

7. Nnesha

|dw:1441476153258:dw|

8. anonymous

i suck at math .. so all im seeing in that pic is letters and numbers , i dont know it

9. Nnesha

compare your question with that drawing

10. Nnesha

how would you write sqrt{2} into exponent form $\huge\rm \sqrt{2} =2^\frac{ ?? }{ ?? }$

11. anonymous

I dont know

12. anonymous

$\sqrt{2}\cdot \sqrt[3]{2}=2^\frac{ 1 }{ 2 }\cdot 2^\frac{ 1 }{ 3 } = 2^{\left(\frac{ 1 }{ 2 }+\frac{ 1 }{ 3 }\right)}$

13. Nnesha

$\huge\rm \sqrt[2]{2^1}$ $\huge\rm \sqrt[n]{x^m} =x^\frac{ m }{ n}$ can you write it now ? m=1 n=2

14. Nnesha

it's square root so n would be 2 $\sqrt{ }$ <radical sign means square root

15. triciaal

|dw:1441476545729:dw|

16. anonymous

Lordy .. Thank You @triciaal

17. Nnesha

if the person don't know how to write it in exponential form how would he find the answer next time ???

18. Nnesha

we will not be with him/her to set up the question

19. anonymous

I understand it from her drawing..

20. Nnesha

ofc you understand it in one sec. good luck