How do you simplify #((-3xy^4z^2)/(x^3yz^4))^0#?

1 Answer
Oscar L.
Mar 4, 2016

Any finite, nonzero quantity raised to the zero power is 1.

Explanation:

Why do we make it 1? Think of #2^{3}#. Of course it equals 8. Now divide by 2, you are left with #2^{2}# or 4. Divide by 2 again and now you have #2^{1}=2#. Mathematicians just keep going -- divide by 2 again and now the exponent is 0, and at the same time the quotient is 1. It works the same way with any finite nonzero base.

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