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

Combine and into a single radical.
Reduce the expression by cancelling the common factors.
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.
Simplify the numerator.
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.
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 .
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 .
Multiply and .
Multiply by .
Simplify ( cube root of 6x^2y^4)/(2 cube root of 5x^7y)