Questions on Algebra: Inverse operations for addition and multiplication, reciprocals answered by real tutors!

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Question 140126: Please help me solve this question. I have a full worksheet to complete. If you can help me with this one I can use it as an example to finish the rest.

(X^(n-4)Y)^3(X^6Y^(n+4))^2
: Please help me solve this question. I have a full worksheet to complete. If you can help me with this one I can use it as an example to finish the rest.

(X^(n-4)Y)^3(X^6Y^(n+4))^2

Answer by ankor@dixie-net.com(4489) About Me  (Show Source):
You can put this solution on YOUR website!
(X^(n-4)Y)^3(X^6Y^(n+4))^2
;
Multiply all exponents inside the brackets by the exponent outside the brackets
(X^(3(n-4))Y^3)*(X^12Y^(2(n+4)))
:
(X^(3n-12)Y^3)*(X^12Y^(2n+8))
:
When you multiply like terms, add the exponents
(X^(3n-12+12)Y^(3+2n+8))
:
(X^(3n)Y^(2n+11))