1. The problem asks to evaluate the expression $2^2$. 2. Recall that $a^n$ means multiplying $a$ by itself $n$ times. 3. Calculate $2^2 = 2 \times 2 = 4$. 1. Next, evaluate $81^2$. 2. Calculate $81^2 = 81 \times 81$. 3. Multiply: $81 \times 81 = 6561$. 1. Evaluate $(0.5)^2$. 2. Calculate $0.5 \times 0.5 = 0.25$. 1. Evaluate $11^3$. 2. Calculate $11^3 = 11 \times 11 \times 11$. 3. First, $11 \times 11 = 121$. 4. Then, $121 \times 11 = 1331$. 1. Evaluate $(0.2)^3$. 2. Calculate $0.2 \times 0.2 \times 0.2$. 3. $0.2 \times 0.2 = 0.04$. 4. $0.04 \times 0.2 = 0.008$. 1. Evaluate $7^3$ and $70^3$. 2. Calculate $7^3 = 7 \times 7 \times 7$. 3. $7 \times 7 = 49$. 4. $49 \times 7 = 343$. 5. Calculate $70^3 = 70 \times 70 \times 70$. 6. $70 \times 70 = 4900$. 7. $4900 \times 70 = 343000$. 1. Find how many times larger $4^2$ is than $(0.4)^2$. 2. Calculate $4^2 = 16$. 3. Calculate $(0.4)^2 = 0.16$. 4. Divide $\frac{16}{0.16}$. 5. Show cancellation: $$\frac{\cancel{16}}{\cancel{0.16}} = 100$$. 6. So, $4^2$ is 100 times larger than $(0.4)^2$. Final answers: $2^2 = 4$ $81^2 = 6561$ $(0.5)^2 = 0.25$ $11^3 = 1331$ $(0.2)^3 = 0.008$ $7^3 = 343$ $70^3 = 343000$ $4^2$ is 100 times larger than $(0.4)^2$.