## anonymous one year ago I really need help with this question

1. anonymous

2. anonymous

I need to simplify this expression rewrite it in radical form

3. anonymous

4. EmmaTassone

you should do that with the following properties: $\sqrt[n]{a}=a^{\frac{ 1 }{ n }}$ $a ^{n}.b ^{m}= a ^{n+m}$

5. EmmaTassone

using those you can rewrite the expression as you want

6. EmmaTassone

and a,b,m,n are all real numbers

7. anonymous

alright so would I get 1/2c[^{3/5}\] x -18/4d[^{1/6}\]

8. EmmaTassone

mm.. i would appreciate you to write your result with maths symbols because i didint understand what to got to.

9. anonymous

1/2c^3/5 x -18/4 D ^1/6

10. EmmaTassone

where the x comes from?

11. anonymous

multiplication symbol I will use a different one next time

12. EmmaTassone

what happened with the c factor?

13. EmmaTassone

try first to multiply all the fraction, so you will have them in only one fraction

14. EmmaTassone

and you wont have to care about them anymore

15. EmmaTassone

Example: $\frac{ 1 }{3 }a ^{-5}.\frac{ 1 }{ 3 }b ^{\frac{ 4 }{ 3 }}.\frac{ 1 }{ 2 }\sqrt[3]{b}=\frac{ 1 }{ 18 }(a ^{-5}.b ^{\frac{ 4 }{ 3 }}.\sqrt[3]{b})$

16. EmmaTassone

and then you use the properties i gave you @sethgprescott : $\frac{ 1 }{ 18 }.(a ^{-5}.b ^{\frac{ 4 }{ 3 }}.b^ \frac{ 1 }{ 3 })=\frac{ 1 }{ 18 }(a^{-5}.b^{\frac{ 4 }{ 3 }+\frac{ 1 }{ 3 }})$