Question

What is the fraction (2)/(z) (7)/(a⁶) expressed in lowest terms when z=0?

1) 7/(a⁶)
2) 2/(a⁶)
3) 2/(7a⁶)
4) 7/(2a⁶)

Answer 1

The expression (2/z) (7/a⁶) cannot be simplified when z=0 because dividing by zero is undefined in mathematics.

Step-by-step explanation:

The question asks what is the fraction (2/z) (7/a⁶) expressed in lowest terms when z=0. However, when trying to evaluate this expression, we encounter an issue. The value of 'z' is in the denominator, so if z=0, we cannot divide by zero as it is undefined in mathematics. Therefore, the expression (2/0) (7/a⁶) is undefined and cannot be simplified or expressed in lowest terms. Dividing by zero is not allowed, and any expression that involves division by zero does not have a value.