## anonymous one year ago Rewrite in simplest radical form x^5/6 divided by x^1/6

1. Nnesha

when we divide same base , subtract their exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$

2. anonymous

Do you subtract both the bottom number and the top number or just the top one?

3. Nnesha

just subtract their exponents top exponent minus bottom exponents base would stay the same

4. anonymous

.67

5. Nnesha

hmm we need to write it in radical form so keep the fraction

6. anonymous

How?

7. Nnesha

how did you get .67 ??

8. Nnesha

i mean what did you subtract to get .67 what did you type into the calculator ?

9. anonymous

I subtract 5/6 from 1/6

10. Nnesha

yes so $\huge\rm \frac{ 5 }{ 6 }-\frac{ 1 }{ 6 }$ what's the common denominator ?

11. anonymous

6

12. anonymous

x^4/6?

13. Nnesha

yes right so since the denominator of both fraction are the same $\frac{ 5-1 }{ 6 }$ so you can just subtract the numbers in the numerator

14. Nnesha

yes right reduce the fraction

15. anonymous

x^2/3?

16. Nnesha

yes right now apply the exponent rule to convert into radical form $\huge\rm \sqrt[n]{x^m}=x^\frac{ m }{ n}$

17. anonymous

$\sqrt[3]{x ^{2}}$

18. Nnesha

looks good