SOLUTION: (4a^6)^4 how would o go about solving this? like the steps?

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Question 883088: (4a^6)^4
how would o go about solving this? like the steps?
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Raise 4 to the fourth power to get 4^4 = 256 (4^4 = 4*4*4*4 = 16*16 = 256)

Then raise a^6 to the 4th power to get a^(6*4) = a^(24)

So the final answer is 256a%5E%2824%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+4a%5E6+%29%5E4+
You can follow the general rule:
+%28+a%2Ab%2Ac+%29%5Ed+=+a%5Ed%2Ab%5Ed%2Ac%5Ed+
----------------------------
+4%5E4%2A%28+a%5E6+%29%5E4+
Now use the general rule:
+%28+a%5Eb+%29%5Ec+=+a%5E%28%28b%2Ac%29%29+
---------------------
+256a%5E24+ answer
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You can do a rough check like this:
Say +a+=+3+ ( or any number )
+%28+4a%5E6+%29%5E4++=+%28+4%2A3%5E6+%29%5E4+
+%28+4%2A729+%29%5E4+
+2916%5E4+=+7.230196134%2A10%5E13+
---------------------------------
+256a%5E24+
+256%2A3%5E24+
+256%2A2.824295365%2A10%5E11+
+7.230196134%2A10%5E13+
OK