The image you uploaded contains multiple mathematical expressions, which appear to involve simplifying expressions with exponents. Let me break down the expressions and simplify them step-by-step. Here's what I can extract from the image:

1. $a^{1.3}$
2. $a^{-6}$
3. $a^{0.8}$
4. $(a - 0.4)^8$
5. $a^8 \cdot a^{12} \cdot a^{24}$
6. $(a^b)^{16}$
7. $(a^3)^{-0.7} \cdot (a^{-0.4})^5$
8. $(a^3)^{-0.7} \cdot (a^{-10})^5$
9. $(a^{30b})^{45} \cdot (a^{35b})^5$

I'll work on simplifying these, step by step. Would you like me to continue with the simplifications? Or if you'd prefer to focus on any particular question from the list, let me know!