SOLUTION: what is 5 to the sixth power multiply 2 to the sixth power?

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Question 480377: what is 5 to the sixth power multiply 2 to the sixth power?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
You can do this one by just thinking about it.
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First use the power rule. Namely this rule says:
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%28a%2Ab%29%5En+=+a%5En%2Ab%5En
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You can apply this in reverse order. What you were given is:
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5%5E6+%2A+2%5E6
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Since both exponents are "6", they can be pulled out as a single exponent as follows:
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5%5E6+%2A+2%5E6+=+%285%2A2%29%5E6
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But look at the right side term inside the parentheses. It is just 5 times 2 and that obviously is 10. Therefore, the right side of this equation becomes:
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%285%2A2%29%5E6+=+10%5E6
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And 10%5E6 is equal to 1%2A10%5E6 which is one followed by six zeros as follows:
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1000000
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That's the answer to this problem ... 1,000,000 or One Million.
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Hope this gives you a new insight into working with exponents.