Final answer:
To find the value of a³ b with a = -5 and b = 5x + 5i, we calculate -5 to the third power and multiply by b, resulting in -625x - 625i.
Step-by-step explanation:
To find the value of a³ b given a = -5 and b = 5x + 5i, we first compute a³ (which is a multiplied by itself three times). Since a = -5, raising a to the third power gives us a³ = (-5)³ = -125. Next, we multiply this result by b to get a³ b.
Therefore, a³ b = -125 × (5x + 5i) = -625x - 625i.
The fully simplified form of a³ b is -625x - 625i.