Simplify ((m^-3n^5)^2)/(3(mn^3)^-3)

Math
Move to the numerator using the negative exponent rule .
Simplify the numerator.
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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, .
Multiply by .
Rewrite the expression using the negative exponent rule .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Simplify the numerator.
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Combine and .
Combine and .
Combine and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Reduce the expression by cancelling the common factors.
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Move to the left of .
Simplify ((m^-3n^5)^2)/(3(mn^3)^-3)
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