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The result is
.
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To simplify
using fractional exponents, we start by expressing both the numerator and denominator in terms of exponent fractions.
The square root can be expressed as an exponent of
, so:
Next, the fourth root can be expressed as an exponent of
, so:
Now we can rewrite the original expression:
According to the properties of exponents, when dividing powers with the same base, we subtract the exponents:
To subtract the exponents, we need a common denominator. The least common denominator between 2 and 4 is 4, so we convert
:
Now we can perform the subtraction:
Thus, we have:
Ultimately, the simplified expression is: