Simplify (x^(1/2)y^(-1/4)z)^-2

Math
Rewrite the expression using the negative exponent rule .
Combine and .
Combine and .
Change the sign of the exponent by rewriting the base as its reciprocal.
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the denominator.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify (x^(1/2)y^(-1/4)z)^-2

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