1. Problem: Calculate $2$ raised to the power of $7$. 2. Formula: The expression $a^b$ means multiplying $a$ by itself $b$ times. 3. Calculation: Here, $2^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$. 4. Step-by-step multiplication: - $2 \times 2 = 4$ - $4 \times 2 = 8$ - $8 \times 2 = 16$ - $16 \times 2 = 32$ - $32 \times 2 = 64$ - $64 \times 2 = 128$ 5. Final answer: $2^7 = 128$. This means if you multiply 2 by itself 7 times, the result is 128.