Question

Can anyone solve this:
By what number ahould [(-5/2)^3]^-3 be multiplied to get (-2/5)^5...
Plz answer it as quickly as possible

Answer 1

Answer:

x=625/16

Step-by-step explanation:

[(-5/2)³]-³ x=(-2/5)^5

[(-5/2)³]-³x=(-2/5)²*(-2/5)³

1/[(-5/2)³]³x=(4/25)*(-2/5)³

1/(-125/8)³x=(4/25)*(-8/125)

x=(4/25)*(-125/8)^-1*(-125/8)^3

x=(4/25)*(-125/8)^-1+3

x=(4/25)*(-125/8)²

x=(4/25)*(-125/8)*(-125/8)

x=(-5/2)(-125/8)

x=(625/16)