Simplify the quotient of powers ((2m^3n^(-2))^(-1))/(m^3n^4)

 Exercise

$\frac{\left(2m^3n^{-2}\right)^{-1}}{m^3n^4}$

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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{1}{m^3n^4\left(2m^3n^{-2}\right)^{1}}$

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Any expression to the power of $1$ is equal to that same expression

$\frac{1}{2m^3n^4m^3n^{-2}}$

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When multiplying exponents with same base we can add the exponents

$\frac{1}{2m^{6}n^4n^{-2}}$

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When multiplying exponents with same base we can add the exponents

$\frac{1}{2m^{6}n^{2}}$

$\frac{1}{2m^{6}n^{2}}$

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