Question

rewrite using a single positive exponent.

\\\frac{5^{-6}}{5^3}\\

Explanation:

Apply the quotient rule for exponents

$$ \frac{5^{-6}}{5^{3}} = 5^{-6 - 3} = 5^{-9} $$

Apply the negative exponent rule

$$ 5^{-9} = \frac{1}{5^{9}} $$

Answer:

$$\frac{1}{5^{9}}$$