SOLUTION: simplify the following algebraic expression (2x^5)^3 (-3x^4)^3

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Question 35246: simplify the following algebraic expression
(2x^5)^3 (-3x^4)^3

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%282x%5E5%29%5E3%28-3x%5E4%29%5E3 Multiply the "inside" exponents by the "outside" exponents. Remember that the integers have an exponent of 1.
%28%282%5E3%29%28x%5E15%29%29%28%28-3%5E3%29%28x%5E12%29%29 Simplify.
%288x%5E15%29%28-27x%5E12%29 Two more steps. Multiply the two integers,
-216%28x%5E15%29%28x%5E12%29 then add the exponents of the variable, x.
-216x27