SOLUTION: How do you solve this problem? 6^1/3*6^5/3

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Question 559576: How do you solve this problem?
6^1/3*6^5/3
Found 2 solutions by Alan3354, bucky:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given to evaluate:
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6%5E%281%2F3%29%2A6%5E%285%2F3%29
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[Note that the software that produces the fractional exponents slightly clips off the tops of the numerators. One of the clipped numbers is 1 and the other is 5.]
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The two bases are both 6. Therefore, all you need to do is add the exponents and raise 6 to the power of the added exponents.
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So the answer is given by:
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6%5E%281%2F3+%2B+5%2F3%29
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[Again the clipped numerators. And again, one of them is 1 and the other is 5.]
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Adding the two exponents involves adding 1%2F3 and 5%2F3. This sum is %281%2B5%29%2F3+=+6%2F3 and 6%2F3+=+2
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So the answer to this problem is:
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6%5E2 and 6 squared gives you the final answer which is 36.
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Hope this helps you to understand the problem. Remember that the bases of the two numbers in the product must be the same for the method of adding exponents to work.