Calculate the results of the following equations involving squares, cubes, and roots.

$$6^2 = 36$$ $$5^2 = 25$$

$$36 - 25 = 11$$

The calculated value is $\boxed{\mathbf{11}}$.

b) $2^3 + 3^3$

$$2^3 = 2 \times 2 \times 2 = 8$$ $$3^3 = 3 \times 3 \times 3 = 27$$

$$8 + 27 = 35$$

The calculated value is $\boxed{\mathbf{35}}$.

8. Calculate.

a) $\sqrt[3]{8}$

$$2 \times 2 \times 2 = 8$$

The cube root of 8 is $\boxed{\mathbf{2}}$.

b) $\sqrt[3]{64}$

$$4 \times 4 \times 4 = 64$$

The cube root of 64 is $\boxed{\mathbf{4}}$.

9. Calculate.

a) $\sqrt{9} + \sqrt{16}$

$$\sqrt{9} = 3$$ $$\sqrt{16} = 4$$

$$3 + 4 = 7$$

The calculated value is $\boxed{\mathbf{7}}$.

b) $\sqrt{100} + \sqrt{81}$

$$\sqrt{100} = 10$$ $$\sqrt{81} = 9$$

$$10 + 9 = 19$$

The calculated value is $\boxed{\mathbf{19}}$.

10. Calculate.

a) $\sqrt[3]{216} + \sqrt[3]{27}$

$$\sqrt[3]{216} = 6$$ $$\sqrt[3]{27} = 3$$

$$6 + 3 = 9$$

The calculated value is $\boxed{\mathbf{9}}$.

b) $\sqrt[3]{27} - \sqrt[3]{8}$

$$\sqrt[3]{27} = 3$$ $$\sqrt[3]{8} = 2$$

$$3 - 2 = 1$$

The calculated value is $\boxed{\mathbf{1}}$.

11. Calculate.

a) $\sqrt{25} + \sqrt[3]{8}$

$$\sqrt{25} = 5$$ $$\sqrt[3]{8} = 2$$

$$5 + 2 = 7$$

The calculated value is $\boxed{\mathbf{7}}$.

b) $\sqrt{25} - \sqrt[3]{27}$

$$\sqrt{25} = 5$$ $$\sqrt[3]{27} = 3$$

$$5 - 3 = 2$$

The calculated value is $\boxed{\mathbf{2}}$.

12. Calculate.

a) $\sqrt[3]{216} + 4^2 - \sqrt{16}$

$$\sqrt[3]{216} = 6$$ $$4^2 = 16$$ $$\sqrt{16} = 4$$

$$6 + 16 - 4 = 22 - 4 = 18$$

The calculated value is $\boxed{\mathbf{18}}$.

b) $9^2 - \sqrt[3]{27} + \sqrt{4}$

$$9^2 = 81$$ $$\sqrt[3]{27} = 3$$ $$\sqrt{4} = 2$$

$$81 - 3 + 2 = 78 + 2 = 80$$

The calculated value is $\boxed{\mathbf{80}}$.

13. Calculate the following as fast as you can:

a) $10 \times 10$

$$10 \times 10 = 100$$

The product is $\boxed{\mathbf{100}}$.

b) $10 \times 10 \times 10 \times 10 \times 10$

$$10 \times 10 \times 10 \times 10 \times 10 = 100000$$

The product is $\boxed{\mathbf{100000}}$.