Final answer:
The value of the expression 5⁰ + 4¹ + (-1)² + (-2)³ is -2.
Step-by-step explanation:
The value of the expression 5⁰ + 4¹ + (-1)² + (-2)³ can be found by evaluating each term separately and then adding them together.
5⁰ means 5 raised to the power of 0, which is equal to 1.
4¹ means 4 raised to the power of 1, which is equal to 4.
(-1)² means (-1) raised to the power of 2, which is equal to 1. The negative sign doesn't affect the result because the exponent is even.
(-2)³ means (-2) raised to the power of 3, which is equal to -8. The negative sign affects the result because the exponent is odd.
1 + 4 + 1 + (-8) = -2. So, the value of the expression is -2.