SOLUTION: My buddy buddy needs help: ([2^2]^3 g^4 h^4)^3

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Question 650133: My buddy buddy needs help:
([2^2]^3 g^4 h^4)^3
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20855) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%282%5E2%29%5E3+%2A+g%5E4+%2A+h%5E4%29%5E3+
Whenever you have parentheses, work from
the inside out.
So start with +%28%28+2%5E2+%29%29%5E3+
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The general rule for this is:
+%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29+, so
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+%28%28+2%5E2+%29%29%5E3++=+2%5E6+
--------------------
Now you have:
+%28+2%5E6+%2A+g%5E4+%2A+h%5E4%29%5E3+
Note that +2%5E6+=+2%5E2+%2A+2%5E4+
+%28+2%5E2+%2A2%5E4+%2A+g%5E4+%2A+h%5E4%29%5E3+
+%28+2%5E2+%2A+%28+2%2Ag%2Ah+%29%5E4+%29%5E3+
+2%5E6+%2A+%28+2%2Ag%2Ah+%29%5E12+ answer
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You can check this by filling in any
numbers for g and h
+g+=+2+
+h+=+3+
+%28%282%5E2%29%5E3+%2A+g%5E4+%2A+h%5E4%29%5E3+
+%28%282%5E2%29%5E3+%2A+2%5E4+%2A+3%5E4%29%5E3+
+%28+4%5E3+%2A+16+%2A+81+%29%5E3+
+%28+64+%2A+1296+%29%5E3+
+82944%5E3+
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Plug in same numbers for answer:
+2%5E6+%2A+%28+2%2Ag%2Ah+%29%5E12+
+2%5E6+%2A+%28+2%2A2%2A3+%29%5E12+
+2%5E6+%2A+12%5E12+
+2%5E6+%2A+12%5E6+%2A+12%5E6+
+%28+2%2A12%2A12+%29%5E6+
This should be the same as
+%28+2%5E2+%2A+12%5E2+%2A+12%5E2+%29%5E3+
+%28+4%2A144%2A144+%29%5E3+
+82944%5E3+
This doesn't PROVE the answer's right
but there is a better than even chance