Decide whether or not the set is closed under multiplication.
-$\left\{ 1,3 ^ { 2 } , 3 ^ { 3 } , 3 ^ { 4 } , \ldots \right\}$
A) Closed
B) Not closed

Question

Quizplus · Accepted Answer

The set consists of powers of 3 starting from $3^0 = 1$. Multiplying any two elements in the set results in another power of 3, which is also in the set. Therefore, the set is closed under multiplication.

Decide Whether or Not the Set Is Closed Under Multiplication {1,32,33,34,…}\left\{ 1,3 ^ { 2 } , 3 ^ { 3 } , 3 ^ { 4 } , \ldots \right\}{1,32,33,34,…}

Decide Whether or Not the Set Is Closed Under Multiplication $\left\{ 1,3 ^ { 2 } , 3 ^ { 3 } , 3 ^ { 4 } , \ldots \right\}$