True or false

1. (A^3)^2= A^9
2. (4^3 x 5^2)= 20^12
3. (B^9)^2 = (b^2)^9
4. -11^2= -121
5. (C^2)^3= C^8
6. (3^2 x 9)^3 = 3^12
7. (2 + 3)^3= 5^3
8. (4+5)^3= 4^3 + 5^3

Simplify each

1. A^4 x a^7

2. B^3 x b^4 x b^5

3. c^4 x c^4 x c^8

4. (3d^3) (2d^6) (4d^9)

5. (5e^5) (-4e^4)

6. (5f^2g) (-2fg^3) (g^4)

7. (4h^4k^5) (-6h^5k^3) (-3h^6k)

8. (-7a^4) (3a^2)^3