If the small amp has a line or FX out, and the big one has FX out and return sockets, it could work. Connect the small amp's FX ( or LINE) out to the big amp's FX return socket. This bypasses the big amp's tone control circuit, so it just uses the power amp.
Don't try to use the speaker output of the small amp, it will be way too strong for the input of the big one. You can't make the 100 watt amp any more powerful than 100 watts. If you overload the input you will get distortion and noise and could damage the speaker.
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