Use the Commutative Property of Multiplication to rewrite the algebraic expression:

Question

(1 point)
Responses

z33+k17z to the 33th power plus k to the 17th power

k−17⋅z−33k−17⋅z−33

z33⋅k17z33⋅k17

k17z33the fraction with numerator k to the 17th power and denominator z to the 33th power

Answer 1

The Commutative Property of Multiplication states that the order of factors can be changed without affecting the product. Given the expression \(z^{33} + k^{17}\), we can look for ways to rearrange the terms.

Among the options provided, the expression that correctly represents the application of the Commutative Property of Multiplication is:

k^{17}z^{33}

This expression rearranges the factors \(k^{17}\) and \(z^{33}\) but keeps the same items in the product while adhering to the commutative property.

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