The image you provided contains several algebraic expressions that need to be simplified. Here's a breakdown of the exercises:

1. Simplify the following and leave the answers in exponential form:

   • a) $(2^5)^3$
   • b) $(3^4)^2$
   • c) $(a^3)^5$

2. Simplify as far as possible:

   • a) $5^2(a^3)^3$
   • b) $(4^3)^2 \div (2^2)^3$
   • c) $5a^3 - 2(3a^3)^2$

3. Simplify:

   • a) $(2z^2b^3)^3$

4. Simplify as far as possible:

   • a) $3^2 + 3^1 - 3^1$
   • b) $(3 + 1)^2 - 2(2z)^2$

5. Simplify the following:

   • a) $5a^3 + 3a^1$
   • b) $\left( \frac{5}{2} \right)^2 - 4a + 3a^1$

Would you like me to go over and solve any specific questions for you?