The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In other words, \( a \times b = b \times a \).
Looking at the options you've provided:
1. **\( z^{11} * 2 = z^{11} + 2 \)** - This is incorrect. It does not demonstrate multiplication at all.
2. **\( 2(b^{10} + z^{11}) = (b^{10} + z^{11}) * 2 \)** - This correctly demonstrates the Commutative Property of Multiplication, as it shows that multiplying the expression by 2 can be done in either order.
3. **\( 3(b^{10} + 4) = 3(4 + b^{10}) * 3 \)** - This does not correctly demonstrate the commutative property due to the repetition of \( * 3 \) on the right side, and it's not clear it illustrates commutativity.
4. **\( 11(b + z) = 11b + 11z \)** - This demonstrates the Distributive Property, not the Commutative Property.
Therefore, the correct choice that demonstrates the use of the Commutative Property of Multiplication is:
**\( 2(b^{10} + z^{11}) = (b^{10} + z^{11}) * 2 \)**.