Combine and into a single radical.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Rewrite as .

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 .

Combine and simplify the denominator.

Multiply and .

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 .

Simplify.

Simplify the numerator.

Rewrite as .

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Rewrite as .

Factor out .

Reorder and .

Add parentheses.

Pull terms out from under the radical.

Combine exponents.

Combine using the product rule for radicals.

Multiply by .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Multiply the numerator by the reciprocal of the denominator.

Multiply and .

Multiply by .

Simplify ( cube root of 6x^2y^4)/(2 cube root of 5x^7y)