SOLUTION: Title: Roots of Real Numbers Simplify: (square root)49m^6 this is what i got so far: 2(square root)49m^6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Title: Roots of Real Numbers Simplify: (square root)49m^6 this is what i got so far: 2(square root)49m^6      Log On


   

Question 162079: Title: Roots of Real Numbers
Simplify:
(square root)49m^6
this is what i got so far:
2(square root)49m^6
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean the term to simplify is:
sqrt%2849m%5E6%29
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First, look at the 49. You know that 7x7=49. So that means you can "pull out" a 7 from under the square root sign. Another way to think of it is that the square root of 49 is 7. This leaves you with:
7sqrt%28m%5E6%29
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Now, consider that m^6. That is really m*m*m*m*m*m, right? The square root of m^6 is m^3. This leaves you with the following as your final answer:
highlight%287m%5E3%29
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Good Luck,
tutor_paul@yahoo.com