SOLUTION: why is (2^3)^3 and (2^3)(2^2) are different and explain.

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Question 1090163: why is (2^3)^3 and (2^3)(2^2) are different and explain.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%282%5E3%29%5E3 and %282%5E3%29%282%5E2%29 are different
using laws of exponents, we have:
%28x%5Em%29%5En+=+x%5E%28mn%29 => %282%5E3%29%5E3=2%5E%283%2A3%29=2%5E9
and
x%5Em%2Ax%5En+=+x%5E%28m%2Bn%29=>%282%5E3%29%282%5E2%29=2%5E%283%2B2%29=2%5E5