Final Answer:
A. The answer is -2.
B. When substituting m = 0.5 and n = 2 into the expression -8m⁴n⁴, we get -8 * (0.5)⁴ * (2)⁴ = -8 * 0.0625 * 16 = -2.
Step-by-step explanation:
Upon substituting the given values of m and n into the expression -8m⁴n⁴, each instance of 'm' is replaced by 0.5 and each instance of 'n' is replaced by 2. This simplifies the expression to -8 * (0.5)⁴ * (2)⁴. Firstly, we evaluate 0.5 raised to the power of 4, which equals 0.0625, and 2 raised to the power of 4, which equals 16. Multiplying these values together, we obtain -8 * 0.0625 * 16, resulting in -2 as the final answer.
The process involved straightforward substitution of the given values into the expression and performing the arithmetic operations of exponentiation and multiplication accordingly to arrive at the solution of -2.