Simplify (6x^2y^-3)/(x^-5)

$\frac{6 x^{2} y^{- 3}}{x^{- 5}}$

Move $y^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{6 x^{2}}{x^{- 5} y^{3}}$

Move $x^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{6 x^{2} x^{5}}{y^{3}}$

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

$\frac{6 (x^{5} x^{2})}{y^{3}}$

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

$\frac{6 x^{5 + 2}}{y^{3}}$

Add $5$ and $2$ .

$\frac{6 x^{7}}{y^{3}}$