Final answer:
The expression (-1)⁰ - 2¹ + (-3)² + (-2)³ evaluates to 0, using the properties of exponents and combining the calculated values.
Step-by-step explanation:
The value of the expression (-1)⁰ - 2¹ + (-3)² + (-2)³ is calculated as follows:
- (-1)⁰ equals 1, because any non-zero number raised to the power of 0 is 1.
- 2¹ equals 2, because any number raised to the power of 1 is the number itself.
- (-3)² equals 9, because (-3) * (-3) equals 9.
- (-2)³ equals -8, because (-2) * (-2) * (-2) equals -8.
Adding these together gives us:
- 1 (from (-1)⁰)
- -2 (from - 2¹)
- +9 (from (-3)²)
- -8 (from (-2)³)
So, 1 - 2 + 9 - 8 equals 0.
The final answer to the expression is 0.