## AonZ 2 years ago @hartnn This is just a question im bit confused with

1. AonZ

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

2. AonZ

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

3. AonZ

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

4. hartnn

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

5. AonZ

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

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

7. hartnn

welcome ^_^

8. AonZ

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

9. hartnn

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

10. hartnn

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

11. AonZ

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

12. hartnn

:)

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