Solve for z (3zy)^0=1

Math
(3zy)0=1
Simplify (3zy)0.
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Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to 3zy.
(3z)0y0=1
Apply the product rule to 3z.
30z0y0=1
30z0y0=1
Anything raised to 0 is 1.
1z0y0=1
Multiply z0 by 1.
z0y0=1
Anything raised to 0 is 1.
1y0=1
Multiply y0 by 1.
y0=1
Anything raised to 0 is 1.
1=1
1=1
Since 1=1, the equation will always be true.
Always true
The result can be shown in multiple forms.
Always true
Interval Notation:
(-∞,∞)
Solve for z (3zy)^0=1

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