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

Math
Combine and into a single radical.
Reduce the expression by cancelling the common factors.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Rewrite as .
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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.
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Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Simplify the numerator.
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Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Rewrite as .
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Factor out .
Reorder and .
Add parentheses.
Pull terms out from under the radical.
Combine exponents.
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Combine using the product rule for radicals.
Multiply by .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
Simplify ( cube root of 6x^2y^4)/(2 cube root of 5x^7y)

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