The way that Daniel and his three friends responded to the Babylonian rules was to disobey them and keep obeying God while in exile.
Daniel and his three friends, refused to obey a new law passed in Babylon that called for only the emperor to be worshipped as a god.
Daniel and his three friends were worshippers of God and refused to abide by the new law. They decided to continue obeying God rather than sin by worshipping the emperor.
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