The given expression is:

$\frac{2^{-15}}{(8^{-3})^5} \times (-1)^6$

We need to express this in the form of a power with base 2. Let's solve it step by step:

1. Simplify $(-1)^6$: $(-1)^6 = 1 \quad \text{(since any even power of -1 equals 1)}$ So the expression simplifies to: $\frac{2^{-15}}{(8^{-3})^5}$

2. **