SOLUTION: Simplify the expression. please help explain how to get the answer? it was a multiple choice question, thanks! (x^4)(x^2/3)/x A.) x^3/40 B.) x^13/40 C.)x^11/3 D.) x^1

Algebra ->  Algebra  -> Radicals -> SOLUTION: Simplify the expression. please help explain how to get the answer? it was a multiple choice question, thanks! (x^4)(x^2/3)/x A.) x^3/40 B.) x^13/40 C.)x^11/3 D.) x^1      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 79754: Simplify the expression. please help explain how to get the answer? it was a multiple choice question, thanks!
(x^4)(x^2/3)/x

A.) x^3/40 B.) x^13/40 C.)x^11/3 D.) x^11/20
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28x%5E4%29%28x%5E%282%2F3%29%29%2Fx+=+highlight%28x%29%28x%5E3%29%28x%5E%282%2F3%29%29%2Fhighlight%28x%29 Cancel the indicated terms (x's) to get:
%28x%5E3%29%28x%5E%282%2F3%29%29 Now add the exponents.
x%5E%289%2F3%29%28x%5E%282%2F3%29%29+=+x%5E%28%289%2B2%29%2F3%29=x%5E%2811%2F3%29