SOLUTION: im having trouble learning the concept of simplifying problems like (3x^2)^3(-2x^3)^5, the answer is -864x^21 but i do not know hot to achieve this, another issue is along with (t^

Algebra ->  Exponents -> SOLUTION: im having trouble learning the concept of simplifying problems like (3x^2)^3(-2x^3)^5, the answer is -864x^21 but i do not know hot to achieve this, another issue is along with (t^      Log On


   

Question 679793: im having trouble learning the concept of simplifying problems like (3x^2)^3(-2x^3)^5, the answer is -864x^21 but i do not know hot to achieve this, another issue is along with (t^2/7)^2 (or also t squared over seven in parentices, then squared
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplifying problems like (3x^2)^3(-2x^3)^5,
:
When raising a power, to another power, you multiply the exponents
distribute the outside exponents, inside the brackets
%283%5E3%2Ax%5E%282%2A3%29%29 * %28-2%5E5%2Ax%5E%283%2A2%29%29
(raising a neg number by an odd exponent always results in a negative)
%2827%2Ax%5E6%29 * %28-32%2Ax%5E15%29
combine like terms, add exponents when you multiply
27%2A-32%2Ax%5E%286%2B15%29
-864%2Ax%5E21
:
:
%28t%5E%282%2F7%29%29%5E2 = t%5E%28%282%2F7%29%2A2%29 = t%5E%284%2F7%29, (the exponent is 4/7)