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Start with the given expression
^{\frac{1}{2}})
Convert the expression from radical notation to exponent notation. Remember
^1x^4\right)^{\frac{1}{2}})
Rewrite 175 as
^{1\left(\frac{1}{2}\right)}x^{4\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{4}{2}})
Now multiply the exponents
^{\frac{1}{2}}x^{2})
Reduce

Now convert back to radical notation

Simplify

to get

. Note: If you need help with simplifying square roots, check out this
solver.
Answer:
So

simplifies to
In other words,