Question

(27z^(3)-1)/(3z-1) Determine what value, if any, of the variable must be excluded.

Answer 1

The value of z = 1/3 must be excluded.

Step-by-step explanation:

To determine what value, if any, of the variable must be excluded in the expression (27z^(3)-1)/(3z-1), we need to identify any values of z that would make the denominator equal to zero. This is because dividing by zero is undefined in mathematics.

We set the denominator, 3z-1, equal to zero and solve for z:

3z-1 = 0

3z = 1

z = 1/3

Therefore, the value z = 1/3 must be excluded as it would make the denominator equal to zero.