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Start with the given expression.
Combine the roots.
Divide
to get
.
^{\frac{1}{2}})
Convert from radical notation to exponent notation.
^1y^6\right)^{\frac{1}{2}})
Rewrite
as
^1)
.
^{\left(1\right)\left(\frac{1}{2}\right)}y^{\left(6\right)\left(\frac{1}{2}\right)})
Multiply the outer exponent by each of the inner exponents.
^{\frac{1}{2}}y^{3})
Multiply the exponents.
Convert back to radical notation
Take the square root of 9 to get 3
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Answer:
So
simplifies to
In other words,
where every variable is positive,
, and
(