SOLUTION: Simplify:
sqrt[49x^12y^4z^8]
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Question 146712: Simplify:
sqrt[49x^12y^4z^8]
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
^{\frac{1}{2}})
Convert the expression from radical notation to exponent notation. Remember 
^1x^12y^4z^8\right)^{\frac{1}{2}})
Rewrite 49 as
^{1\left(\frac{1}{2}\right)}x^{12\left(\frac{1}{2}\right)}y^{4\left(\frac{1}{2}\right)}z^{8\left(\frac{1}{2}\right)})
Now distribute the outer exponent to each exponent in the parenthesis. Remember
^{\frac{1}{2}}x^{\frac{12}{2}}y^{\frac{4}{2}}z^{\frac{8}{2}})
Now multiply the exponents
^{\frac{1}{2}}x^{6}y^{2}z^{4})
Reduce
Now convert back to radical notation
Take the square root of 49 to get 7
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