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Nuke's Multiply node performs a simple multiply operation. It can be used to brighten or darken an image, or to fix a color cast. In maths, Multiply has no effect upon zero (black). Hence, the Multiply node will have no effect upon the blacks of an image.

Below' is visualised a multiply value of 0.5. It's effect upon a black to white Ramp can be seen: lightening light values to the point where they blow out to white, and ignoring black.

A multiply operation visualised.