SOLUTION: Simplify
{{{root(3,y^13)*root(3,81y^14)}}}
Algebra.Com
Question 126389: Simplify
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Combine the roots
Multiply. Remember when you multiply like bases with exponents, you add the exponents.
^{\frac{1}{3}})
Convert the expression from radical notation to exponent notation. Remember 
^1y^27\right)^{\frac{1}{3}})
Rewrite 81 as
^{1\left(\frac{1}{3}\right)}y^{27\left(\frac{1}{3}\right)})
Now distribute the exponent Now distribute the outer exponent to each exponent in the parenthesis. Remember
^{\frac{1}{3}}y^{\frac{27}{3}})
Now multiply the exponents
^{\frac{1}{3}}y^{9})
Reduce
Now convert back to radical notation
Factor 81 into 27*3
Break up the root
Take the third root of 27 to get 3
Multiply
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Answer:
So simplifies to
In other words,
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