(-4, 3a⁴ b в 5 степени c) ² × (-10abc)

To simplify the expression, we can start by expanding the squared term (-4, 3a⁴b в 5 степени c)²:

(-4)² = 16 (3a⁴b в 5 степени c)² = (3a⁴b в 5 степени c) * (3a⁴b в 5 степени c) = 9a⁸b² в 10 степени c²

Now, let's simplify the second term:

(-10abc)

Now we can multiply the two simplified terms:

16 * 9a⁸b² в 10 степени c² * (-10abc)

Using the commutative and associative properties of multiplication, we can rearrange the terms:

16 * (-10) * 9 * a⁸ * b² * c² * a * b * c

Now, multiply the numbers:

16 * (-10) * 9 = -1440

Multiply the variables with the same base by adding their exponents:

a⁸ * a = a⁹ b² * b = b³ c² * c = c³

Combining everything, we get:

-1440a⁹b³c³