QuestionSolve for $s$ : $$\begin{array}{l} 16^{9 s-5} \cdot 32^{-5 s-1}=\left(\frac{1}{2^{5 s+5}}\right) \\ s=\square \end{array}$$

Studdy Solution
Solve for $s$:
Add $5s$ to both sides:
$$11s + 5s - 25 = -5$$ $$16s - 25 = -5$$
Add 25 to both sides:
$$16s = 20$$
Divide by 16:
$$s = \frac{20}{16}$$ $$s = \frac{5}{4}$$
The value of $s$ is:
$$\boxed{\frac{5}{4}}$$