Simplify (m^3n^2)/(m^-1n^3)

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

Move $m^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{m^{3} n^{2} m}{n^{3}}$

Multiply $m^{3}$ by $m$ by adding the exponents.

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Move $m$ .

$\frac{m \cdot m^{3} n^{2}}{n^{3}}$

Multiply $m$ by $m^{3}$ .

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Raise $m$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{m^{1 + 3} n^{2}}{n^{3}}$

Add $1$ and $3$ .

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

Cancel the common factor of $n^{2}$ and $n^{3}$ .

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Factor $n^{2}$ out of $m^{4} n^{2}$ .

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

Cancel the common factors.

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Factor $n^{2}$ out of $n^{3}$ .

$\frac{n^{2} m^{4}}{n^{2} n}$

Cancel the common factor.

$\frac{n^{2} m^{4}}{n^{2} n}$

Rewrite the expression.

$\frac{m^{4}}{n}$

Simplify (m^3n^2)/(m^-1n^3)

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