Simplify 2((m^2n)÷m)^6*(3^(1/2)n^3)^2

Math
Rewrite the division as a fraction.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Raise to the power of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Apply basic rules of exponents.
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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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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply by .
Simplify 2((m^2n)÷m)^6*(3^(1/2)n^3)^2
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