Simplify (12x^5y^3)/(4x^-1)

$\frac{12 x^{5} y^{3}}{4 x^{- 1}}$

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

$\frac{12 x^{5} y^{3} x}{4}$

Multiply $x^{5}$ by $x$ by adding the exponents.

Move $x$ .

$\frac{12 (x \cdot x^{5}) y^{3}}{4}$

Multiply $x$ by $x^{5}$ .

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

$\frac{12 (x^{1} x^{5}) y^{3}}{4}$

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

$\frac{12 x^{1 + 5} y^{3}}{4}$

Add $1$ and $5$ .

$\frac{12 x^{6} y^{3}}{4}$

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12 x^{6} y^{3}$ .

$\frac{4 (3 x^{6} y^{3})}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$\frac{4 (3 x^{6} y^{3})}{4 (1)}$

Cancel the common factor.

$\frac{4 (3 x^{6} y^{3})}{4 \cdot 1}$

Rewrite the expression.

$\frac{3 x^{6} y^{3}}{1}$

Divide $3 x^{6} y^{3}$ by $1$ .

$3 x^{6} y^{3}$