Multiply Integers E5Be88

1. **State the problem:** Calculate the product of the numbers $8 \cdot (-2) \cdot (-2) \cdot 8 \cdot (-2) \cdot 8 \cdot 8$. 2. **Recall the multiplication rules:** - Multiplying two negative numbers results in a positive number. - Multiplying a positive and a negative number results in a negative number. - Multiplication is associative and commutative, so we can rearrange terms. 3. **Group and multiply step-by-step:** - First, multiply the first two numbers: $8 \cdot (-2) = -16$ - Then multiply by the next $(-2)$: $-16 \cdot (-2) = 32$ - Multiply by $8$: $32 \cdot 8 = 256$ - Multiply by $(-2)$: $256 \cdot (-2) = -512$ - Multiply by $8$: $-512 \cdot 8 = -4096$ - Finally, multiply by $8$: $-4096 \cdot 8 = -32768$ 4. **Final answer:** $$8 \cdot (-2) \cdot (-2) \cdot 8 \cdot (-2) \cdot 8 \cdot 8 = -32768$$