First, let's substitute the values of a=-5 and b=2 into the expression:
((-5)^4(2)^5)^2 / ((-5)^2(2)^2)^3
Now let's compute the value inside the brackets:
((-5)^4 = 625(2)^5 = 32(625)(32) = 20000
((-5)^2 = 25(2)^2 = 4(25)(4) = 100
Now substitute these values back into the expression:
(20000)^2 / (100)^3
Calculate the values:
400000000 / 1000000 = 400
Therefore, the expression (а^4в^5)^2 / (а^2в^2)^3 with a=-5 and b=2 is equal to 400.
First, let's substitute the values of a=-5 and b=2 into the expression:
((-5)^4(2)^5)^2 / ((-5)^2(2)^2)^3
Now let's compute the value inside the brackets:
((-5)^4 = 625
(2)^5 = 32
(625)(32) = 20000
((-5)^2 = 25
(2)^2 = 4
(25)(4) = 100
Now substitute these values back into the expression:
(20000)^2 / (100)^3
Calculate the values:
400000000 / 1000000 = 400
Therefore, the expression (а^4в^5)^2 / (а^2в^2)^3 with a=-5 and b=2 is equal to 400.