SOLUTION: Can you please help?? (2c^2d^0)^3(5c^7d^2)

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Question 720748: Can you please help??
(2c^2d^0)^3(5c^7d^2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%282c%5E2%2Ad%5E0%29%5E3%2A%285c%5E7%2Ad%5E2%29+
Anything to the zero power is +1+,
so I can rewrite as:
+%282c%5E2%2A1%29%5E3%2A%285c%5E7%2Ad%5E2%29+
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Use the general rule:
+%28+a%5Eb+%29%5Ec+=+a%5E%28b%2Ac%29+
++2%5E3%2Ac%5E%282%2A3%29+%2A+%285c%5E7%2Ad%5E2%29+
++2%5E3%2Ac%5E6+%2A5c%5E7%2Ad%5E2+
Now just reorder these factors
+8%2A5%2Ac%5E6%2Ac%5E7%2Ad%5E2+
+40%2Ac%5E6%2Ac%5E7%2Ad%5E2+
Use the general rule:
+a%5Eb+%2A+a%5Ec+=+a%5E%28+b%2Bc+%29+
+40%2Ac%5E%28+6+%2B+7+%29+%2Ad%5E2+
+40c%5E13%2Ad%5E2+
Hope I got it