-0.7(-10)⁴-5(-10)³-32

First, let's calculate -10 to the power of 4:
-10⁴ = (-10) (-10) (-10) * (-10) = 10000

Next, let's calculate -10 to the power of 3:
-10³ = (-10) (-10) (-10) = -1000

Now, substitute these values back into the original expression:
-0.7 10000 - 5 (-1000) - 32
= -7000 + 5000 - 32
= -2000 - 32
= -2032

Therefore, the value of the expression -0.7(-10)⁴-5(-10)³-32 is -2032.