## AonZ Group Title @hartnn This is just a question im bit confused with one year ago one year ago

1. AonZ Group Title

Simplify $\huge 5^{x+\log_{5}x }$

2. AonZ Group Title

i understand there is the rule how log 5 cancels out right?

3. AonZ Group Title

but i think the answer would be x^x would it not?

4. hartnn Group Title

first step, use $$\huge a^{b+c}=a^b \times a^c$$

5. AonZ Group Title

OHHH. Wow you are the best teacher in the WORLD. You seem to know what to explain first :P Thanks :) Answer then is 5^x * x?

6. hartnn Group Title

$$\huge \color {green}\checkmark$$

7. hartnn Group Title

welcome ^_^

8. AonZ Group Title

im just taking a wild guess but is the a formula that is... $\huge a^{b/c}=a^b - a^c$

9. hartnn Group Title

nopes, theres no such formula. $$\huge a^{(b/c)}= \sqrt[c]{a^b}$$

10. hartnn Group Title

a^b-a^c cannot be further simplified.

11. AonZ Group Title

yep somehow you know thats the exact formula i was looking for :D

12. hartnn Group Title

:)