SOLUTION: Hello, I need help with solving a problem. I am doing rational and radical exponents. The problem is (-27x^9)^1/3. Whoever help me I thank you very much. Because I have tried f

Algebra ->  Radicals -> SOLUTION: Hello, I need help with solving a problem. I am doing rational and radical exponents. The problem is (-27x^9)^1/3. Whoever help me I thank you very much. Because I have tried f      Log On


   

Question 360439: Hello, I need help with solving a problem. I am doing rational and radical exponents. The problem is (-27x^9)^1/3. Whoever help me I thank you very much. Because I have tried figuring this problem out since yesterday and no luck. Thanks again so much for your help and time.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
To get rid of the brackets, multiply both term's exponents inside the brackets
by the exponent outside the brackets. -27 is understood to have an exponent of 1
%28-27x%5E9%29%5E%281%2F3%29 = -27%5E%281%2F3%29%2Ax%5E%28%289%2A%281%2F3%29%29%29 = -27%5E%281%2F3%29%2Ax%5E3
we know the cube root of -27 = -3, therefore
-3x%5E3 is the answer