Shaomada

What exactly do you mean by solve? Do you want to multiply this? In that case you just need to apply the Distributive law, which is $$a \cdot (b + c) = a \cdot b + a \cdot c$$.

You shouldnt answer questions like that. Tell the people they should be able to calculate that themselves, cause they should. If they really are not, tell them how to multiply rational numbers in general and maybe do some even easier exercises with them, and they should be able answer it.

Well, its $$0.6666$$ repeating. $$3 \cdot 2 = 6$$, wow.

But i personaly wouldnt advice you to write the numbers ugly like this. Rather:

$$3 \cdot 0.2222\dots = 3 \cdot \frac{2}{9} = \frac{2}{3}$$

$$\frac{y^3 \cdot x^{(-6)} \cdot y^2 \cdot x^{(-3)}}{y^5 \cdot x^{-8}} \cdot x^2 = x^{(-6)+(-3)-(-8)+(2)} \cdot y^{3+2-5} = x^1 \cdot y^0 = x$$

doesn't get much simpler than that.

$$E=MC^2$$ is an equation. Really, it's just an equation. If you set E some kind of inner Energy and M some mass and C the speed of light in vacuum it might also be some kind of physical law, but well, you didnt.

The square root of 69 is the unique nonnegative real number for which its product with itself equals 69.

0 (for 2 the Nim with one heap of 2 objects and + the standard addition of games)