Simplify ((m^5n^-2)^6)/(m^4n^-3)

Math
Move to the numerator using the negative exponent rule .
Simplify the numerator.
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Apply the product rule to .
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 .
Rewrite the expression using the negative exponent rule .
Simplify the numerator.
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Combine and .
Combine 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.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify ((m^5n^-2)^6)/(m^4n^-3)
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