Let me extract the mathematical content from the image so we can start solving these problems. One moment, please.Here is the transcription of the math problems from the image:

1. $3a^3b^2 - 5a^3b^2$
2. $5xy - 2x^2y + 2xy$
3. Subtract $-2w$ from $-6w$
4. $a^4 \cdot a^3$
5. $(-x^5)^2$
6. $\frac{k^9}{k^5}$
7. $-5x^3 \cdot (-3x^4)$
8. $(-2x^2y)^2 \cdot (-3xy^3)$
9. $2a^{-5}b^6 \cdot 5a^2b^2$
10. $(-4y^4)^2$
11. $(a^2bc^3)^4 \cdot (b^2c)^3$
12. $(6cd^{-1})^{-3}$
13. $(4a)^{-3} \cdot a^4$
14. $(3xy)^2 \cdot (-4x^3y^2)^3$
15. $(4a^1b^5c^{-3})^3$

Would you like me to solve all of them or specific ones? Let me know how you’d like to proceed!