Answer:
8
Step-by-step explanation:
To solve this expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) from left to right:
First, we need to simplify the exponents: -8^2 means -1 times 8 squared, which is -1 times 64 or -64. (-2)^3 means -2 multiplied by itself three times, which is -2 x -2 x -2 or -8.
Next, we need to perform the division and multiplication, again from left to right: -64 ÷ -8 equals 8.
Therefore, the final answer to the expression -8^2÷(-2)^3 is 8.