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Start with the given expression
^{\frac{1}{2}})
Convert the expression from radical notation to exponent notation. Remember
^1x^8\right)^{\frac{1}{2}})
Rewrite 64 as
^{1\left(\frac{1}{2}\right)}x^{8\left(\frac{1}{2}\right)})
Now distribute the exponent Now distribute the outer exponent
to each exponent in the parenthesis. Remember
^{\frac{1}{2}}x^{\frac{8}{2}})
Now multiply the exponents
^{\frac{1}{2}}x^{4})
Reduce
Now convert back to radical notation
Take the square root of 64 to get 8
So
(