Simplify ( square root of x^4y)/( fourth root of x^2y^8)

Math
Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical.
Simplify the denominator.
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Rewrite as .
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Rewrite as .
Reorder and .
Pull terms out from under the radical.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Move .
Raise to the power of .
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.
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.
Combine using the product rule for radicals.
Simplify ( square root of x^4y)/( fourth root of x^2y^8)

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