Janu16 one year ago Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh powerinto an expression with a rational exponent. Make sure you respond with complete sentences.

1. Janu16

|dw:1439420353020:dw|

2. Janu16

@phi can you also help with this problem?

3. Janu16

@peachpi

4. anonymous

$x^\frac{ m }{ n }=\sqrt[n]{x^m}$ Just dealing with the part in parentheses for now,|dw:1439420672181:dw|

5. Janu16

ok x 5/6

6. anonymous

right and now use this rule that says you multiply the exponents for a power to a power $(x^a)^b=x^{ab}$

7. anonymous

so multiply 5/6 by 7

8. Janu16

how do you multioly 5/6 by 7 like multiply 7 by each?

9. anonymous

|dw:1439420875383:dw|

10. Janu16

35/6

11. anonymous

yes

12. Janu16

so what is the final answer?

13. anonymous

|dw:1439421009141:dw|

14. anonymous

yes. rational exponent form just means turning the radical into a fractional exponent

15. Janu16

so thismeans "into an expression with a rational exponent" in fractional exponent?

16. anonymous

yes. rational = fraction

17. Janu16

ok thanks!!

18. anonymous

you're welcome

19. Janu16

hey @peachpi do you simplify?

20. anonymous

you do if it can be simplified. 35/6 can't be simplified though

21. Janu16

ok