Final answer:
The expression 1/2v⁻² can be rewritten as 1/(2v²), as a negative exponent indicates that the variable is in the denominator, and the original fraction 1/2 multiplies with this to form the final expression.
Step-by-step explanation:
To rewrite the expression 1/2v⁻², you can consider that a negative exponent means the expression is the reciprocal of the variable raised to the positive of that exponent. Therefore, v⁻² is the same as 1/v². When we combine this with the 1/2 already present in the expression, it becomes (1/2) * (1/v²) or 1/(2v²). To see this clearly:
Start with the original expression 1/2v⁻².
Rewrite v⁻² as 1/v².
Multiply the 1/2 by 1/v² to get 1/(2v²).
This format clearly shows the relationship between the components of the expression.