Use the power rule to combine exponents.

Combine the numerators over the common denominator.

Add and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move to the numerator using the negative exponent rule .

Use the power rule to combine exponents.

Combine the numerators over the common denominator.

Subtract from .

Divide by .

Simplify .

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor.

Rewrite the expression.

Evaluate the exponent.

Evaluate ((4^(5/4)*4^(1/4))/(4^(1/2)))^(1/2)