To simplify this expression, we can start by rearranging the terms:

(7.5)^2022 * (-0.4)^2022 * 1/72^2023 * (-24)^2023

Now, let's simplify each term separately:

(7.5)^2022 = (7.5 * 7.5 * 7.5 * ... * 7.5) (2022 times)
(-0.4)^2022 = (-0.4 * -0.4 * -0.4 * ... * -0.4) (2022 times)
(-24)^2023 = (-24 * -24 * -24 * ... * -24) (2023 times)

Since 7.5 and -0.4 are positive numbers, their powers will remain positive. However, -24 is negative, so its power will alternate between positive and negative.

Now, let's calculate each term:

(7.5)^2022 = 7.5^2022 ≈ 1.090909 * 10^2022
(-0.4)^2022 = 0.4^2022 ≈ 1.0995116 * 10^-2022
(-24)^2023 = -24^2023 ≈ -1.0995116 * 10^2023

Finally, let's substitute these values back into the expression:

(7.5)^2022 * (-0.4)^2022 * 1/72^2023 * (-24)^2023 ≈ (1.090909 * 10^2022) * (1.0995116 * 10^-2022) * (1/72^2023) * (-1.0995116 * 10^2023)

Now, let's simplify the expression further:

(1.090909 * 10^2022) * (1.0995116 * 10^-2022) = 1.200000004 * 10^0 ≈ 1.2
(1/72^2023) = 1/(72^2023) ≈ 1.0995116 * 10^-2023

Substituting these values back into the expression:

(7.5)^2022 * (-0.4)^2022 * 1/72^2023 * (-24)^2023 ≈ (1.2) * (1.0995116 * 10^-2023) * (-1.0995116 * 10^2023)

Multiplying the numbers:

(1.2) * (1.0995116 * 10^-2023) * (-1.0995116 * 10^2023) ≈ -1.439414 * 10^0

Therefore, (7.5)^2022 * (-0.4)^2022 * 1/72^2023 * (-24)^2023 ≈ -1.439414 * 10^0.