The commutative property of multiplication states that the order in which two numbers or expressions are multiplied does not affect the product. In mathematical terms, this property can be expressed as:
\[ a \times b = b \times a \]
Looking at the expression you've provided:
\[ 2(b^{10} + z^{11}) = (b^{10} + z^{11}) \times 2 \]
This expression rearranges the multiplication of the term \( 2 \) with the entire binomial \( (b^{10} + z^{11}) \).
This is indeed an example of the commutative property of multiplication, because it shows that multiplying \( 2 \) by \( (b^{10} + z^{11}) \) is the same as multiplying \( (b^{10} + z^{11}) \) by \( 2 \).
Thus, the given expression correctly demonstrates the use of the commutative property of multiplication.