Final answer:
The expression 10i · [7 +(8i ÷ 8i)] evaluates to 80i after simplification where the division inside the brackets equals 1, leading to a multiplication of 10i by 8.
Step-by-step explanation:
To evaluate the expression 10i · [7 +(8i ÷ 8i)], we start by simplifying the expression inside the brackets. The division 8i ÷ 8i is equal to 1 since any nonzero number divided by itself equals 1. Thus, the expression within the brackets becomes 7 + 1, which simplifies to 8. Now, we multiply this result by 10i, leading to 10i · 8, or 80i. The result of evaluating the expression is 80i.