1. **State the problem:** Calculate the value of the expression $8^2 \times 8^2 + 8 \times 2$. 2. **Recall the rules:** - Exponentiation is performed before multiplication and addition. - Multiplication and addition follow the order of operations (PEMDAS/BODMAS). 3. **Calculate each part:** - $8^2 = 64$ - So, $8^2 \times 8^2 = 64 \times 64$ 4. **Multiply:** $$64 \times 64 = 4096$$ 5. **Calculate the second multiplication:** $$8 \times 2 = 16$$ 6. **Add the results:** $$4096 + 16 = 4112$$ 7. **Final answer:** $$\boxed{4112}$$