Simplify (13x^-5y^0)/(5^-3z^-10)

$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$

Step 1

Simplify.

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

$\frac{13}{5^{- 3} z^{- 10} x^{5}}$

Move $5^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{13 \cdot 5^{3}}{z^{- 10} x^{5}}$

Move $z^{- 10}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{13 \cdot 5^{3} z^{10}}{x^{5}}$

Step 2

Simplify the numerator.

Raise $5$ to the power of $3$ .

$\frac{13 \cdot 125 z^{10}}{x^{5}}$

Multiply $13$ by $125$ .

$\frac{1625 z^{10}}{x^{5}}$