Simplify (15x^3z^-5)/(25y^-4)

$\frac{15 x^{3} z^{- 5}}{25 y^{- 4}}$

Simplify.

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

$\frac{15 x^{3}}{25 y^{- 4} z^{5}}$

Move $y^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{15 x^{3} y^{4}}{25 z^{5}}$

Cancel the common factor of $15$ and $25$ .

Factor $5$ out of $15 x^{3} y^{4}$ .

$\frac{5 (3 x^{3} y^{4})}{25 z^{5}}$

Cancel the common factors.

Factor $5$ out of $25 z^{5}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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