To solve this expression, we need to use the rules of order of operations, which dictate the order in which mathematical operations should be performed. The order of operations is typically abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Using the order of operations, we can solve the expression as follows:
64 - (-2)⁵ ÷ 2³ + (-1)³ · (0.5)²
= 64 - (-2)⁵ ÷ 8 + (-1)³ · 0.25
= 64 - (-32) ÷ 8 + (-1)³ · 0.25
= 64 + 32 + (-1)³ · 0.25
= 96 + (-1)³ · 0.25
= 96 + (-1) · 0.25
= 96 - 0.25
= 95.75
Therefore, the final result of the expression is 95.75