Combine and into a single radical.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor the perfect power out of .

Factor the perfect power out of .

Rearrange the fraction .

Pull terms out from under the radical.

Rewrite as .

Multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Combine using the product rule for radicals.

Multiply by .

Multiply and .

Move to the left of .

Simplify ( square root of 5x^4y)/( square root of 2x^2y^3)