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Start with the given expression
^{\frac{1}{2}})
Convert the expression from radical notation to exponent notation. Remember
^1r^2s^1\right)^{\frac{1}{2}})
Rewrite 36 as
and
as
^{1\left(\frac{1}{2}\right)}r^{2\left(\frac{1}{2}\right)}s^{1\left(\frac{1}{2}\right)})
Now distribute the exponent Now distribute the outer exponent
to each exponent in the parenthesis. Remember
^{\frac{1}{2}}r^{\frac{2}{2}}s^{\frac{1}{2}})
Now multiply the exponents
^{\frac{1}{2}}r^{1}s^{\frac{1}{2}})
Reduce
Now convert back to radical notation
Take the square root of 36 to get 6
So
simplifies to
(