Given that begin equation 2/3a = 16, which of the following illustrates how the multiplicative inverse property can be used to find the value of a?

2/3 A = 16

The multiplicative inverse is also known as the reciprocal. To solve for the value of A, multiplicative inverse is required.
The multiplicative inverse of 2/3 is 3/2. When you divide a number by a fraction, you first get the reciprocal of the fraction. Then, you multiply the number by the reciprocal of the fraction. 

2/3 A = 16
A = 16 / 2/3
A = 16 * 3/2
A = 48 / 2
A = 24

To check:
2/3 A = 16
2/3 (24) = 16
48 / 3 = 16
16 = 16