## anonymous 3 years ago (27a^6)^2/3 in simplest form please

1. ajprincess

$$\Large27=3^3$$ $$\Large(27a^6)^{\frac{2}{3}}$$ $$=\Large{27^{\frac{2}{3}}a^{6*{\frac{2}{3}}}}$$ $$=\Large{3^{3*{\frac{2}{3}}}a^{6*{\frac{2}{3}}}}$$ Can u find the simplest form @rhodes?

2. anonymous

i dont get it

3. ajprincess

$$27=3*3*3=3^3$$ Getting this?

4. anonymous

yes

5. anonymous

what is the answer?? ___a^_ ??

6. ajprincess

good:) Using this general rule $$\Large(a^b)^c=a^{b*c}$$ Nw $$\Large(27a^6)^{\frac{2}{3}}$$ $$=\Large27^{\frac{2}{3}}a^{6*{\frac{2}{3}}}$$ Getting this?

7. anonymous

yes but what is the answer ___a^- ??

8. ajprincess

Actually I am sorry I am supposed to give u direct answers.

9. anonymous

ok carry on i get up to the last bit

10. ajprincess

U knw that $$27=3^3$$ Plugging that in $$\Large27^{\frac{2}{3}}a^{6*\frac{2}{3}}$$ u get $$\Large3^{3*\frac{2}{3}}a^{6*\frac{2}{3}}$$ Getting this?

11. anonymous

yes

12. anonymous

@rhodes , simplify the last equation that ajprincess wrote...

13. anonymous

i don't think you are oblige to give direct answers @ajprincess , you were teaching the way to get the answer so you don't have to be sorry... @rhodes this is a learning site not an answering site.. if you want answer then this is not the place .. you should go and read code of conduct if u are about to ask question here..

14. anonymous

scarydoor u were a lot of help thanks :)

15. anonymous

uhh... I think @ajprincess might have been a bit more deserving of thanks...

16. anonymous

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