SOLUTION: Use the Laws of exponents to simplify. 5 to the power of 9/6 OVER 5 to the power of 7/6 5^(9/6)/5^(7/6)

Algebra ->  Expressions-with-variables -> SOLUTION: Use the Laws of exponents to simplify. 5 to the power of 9/6 OVER 5 to the power of 7/6 5^(9/6)/5^(7/6)      Log On


   

Question 266477: Use the Laws of exponents to simplify.
5 to the power of 9/6 OVER 5 to the power of 7/6
5^(9/6)/5^(7/6)
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
since inbeding the correct source code comes out bad i will do it in normal type:
5^(9/6)/5^(7/6)
when dividing exponents you subtract like terms
%289%2F6%29-%287%2F6%29
2%2F6
1%2F3 is the reduce exponent
5 is the constinent
so:
5^(1/3) is in reduced form
lets check:
%285%5E%281.5%29%29%2F%285%5E%281.1667%29%29=5%5E%28.3333%29
%2811.1803%29%2F%286.5383%29=1.7099
%281.7099%29=1.7099
Woot i did it right...well i hope it makes since to you