SOLUTION: Simplify using properties of exponents: a^1/7(a^7/3+a^6/7) Do I do the distributive property first or put them into radical form first? If I do the distributive property firs

Algebra ->  Radicals -> SOLUTION: Simplify using properties of exponents: a^1/7(a^7/3+a^6/7) Do I do the distributive property first or put them into radical form first? If I do the distributive property firs      Log On


   

Question 325500: Simplify using properties of exponents:
a^1/7(a^7/3+a^6/7)
Do I do the distributive property first or put them into radical form first? If I do the distributive property first how do I deal with the exponents?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E%281%2F7%29%28a%5E%287%2F3%29%2Ba%5E%286%2F7%29%29%5E%22%22 Start with the given expression.


a%5E%281%2F7%29%28a%5E%287%2F3%29%29%2Ba%5E%281%2F7%29%28a%5E%286%2F7%29%29%5E%22%22 Distribute.


a%5E%281%2F7%2B7%2F3%29%2Ba%5E%281%2F7%2B6%2F7%29%5E%22%22 Multiply the terms by adding the exponents.


a%5E%2852%2F21%29%2Ba%5E%287%2F7%29%5E%22%22 Add


a%5E%2852%2F21%29%5E%22%22%2Ba Reduce and simplify


So a%5E%281%2F7%29%28a%5E%287%2F3%29%2Ba%5E%286%2F7%29%29=a%5E%2852%2F21%29%5E%22%22%2Ba