Simplify (x^(2/5)y^(-1/4))/((4x^-1y)^3)

Math
Move to the denominator using the negative exponent rule .
Simplify the denominator.
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Apply the product rule to .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
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 the expression using the negative exponent rule .
Simplify the denominator.
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Combine and .
Combine and .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Combine and .
Multiply by by adding the exponents.
Tap for more steps…
Use the power rule to combine exponents.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
Simplify (x^(2/5)y^(-1/4))/((4x^-1y)^3)

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