Answer:
The value of 4v^(2/3) * v^(-1) is 4v^(-1/3).
Explanation:
To find the value of 4v^(2/3) * v^(-1), we can simplify the expression by combining the like terms and using the properties of exponents.
1. First, let's combine the like terms by multiplying the coefficients (4) and (1) together. This gives us 4 * 1 = 4.
2. Next, let's combine the variables (v) by adding their exponents. Since both terms have the same base (v), we can add the exponents (2/3) and (-1). This gives us (2/3) + (-1) = 2/3 - 3/3 = -1/3.
3. Finally, let's simplify the expression by writing the result using a single exponent. In this case, the simplified expression is 4v^(-1/3).
Therefore, the value of 4v^(2/3) * v^(-1) is 4v^(-1/3).