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

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

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