SOLUTION: x^1/3 multiplied by x^5/2, divided by x^-1/5 -- the directions on the problem say "simplify the expression. Express the answer so that only positive exponents occur. Assume tha

Algebra ->  Algebra  -> Radicals -> SOLUTION: x^1/3 multiplied by x^5/2, divided by x^-1/5 -- the directions on the problem say "simplify the expression. Express the answer so that only positive exponents occur. Assume tha      Log On

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

   

Question 29173: x^1/3 multiplied by x^5/2, divided by x^-1/5
-- the directions on the problem say "simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive when they appear."
Thank you! Kim
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
x^1/3 multiplied by x^5/2, divided by x^-1/5
-- the directions on the problem say "simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive when they appear."
x^1/3 multiplied by x^5/2, divided by x^-1/5
(x^1/3 X x^5/2)/( x^-1/5)
=x^(1/3+5/2)X [1/x^(-1/5)] { [something]/t = {that something X(1/t) }(example: (a/b) = aX(1/b) )
=x^(1/3+5/2)X x^(1/5) (using 1/[a^(-m)] =(a)^(m)
=x^[(2X1+3X5)/6] X [x^(1/5)] [using (a)^m X(a)^n = (a)^(m+n)] (and finding the lcm)
=x^(17/6) X x^(1/5)
=x^(17/6+1/5) [using (a)^m X(a)^n = (a)^(m+n)]
=x^[(5X17+6X1)/30] (finding the lcm)
=x[(85+6)/30]
=x^(91/30)