A student says that $(6z^4{)}^0=0$ because the exponent is zero. How should this claim be judged for $z\ne 0$?

• A. The claim is correct because zero exponents always make an expression equal to $0$
• B. The claim is incorrect because any nonzero quantity raised to the zero power equals $1$
• C. The claim is incorrect because only variables, not constants, can have zero exponents
• D. The claim is correct because the coefficient $6$ forces the expression to remain $6$

Answer: (B)