Final answer:
To factor the expression x³y³z³ completely, we can recognize that each variable is raised to the power of 3. By factoring out the common factor, we get x³y³z³.
Step-by-step explanation:
To factor the expression x³y³ z³ completely, we need to recognize that each variable, x, y, and z, is raised to the power of 3. We can use the rule for raising a product to a power to simplify the expression.
- Factor out the common factor, x³y³z³.
Therefore, the factored form is (xyz)³, which indicates that x, y, and z are multiplied together and then this product is raised to the third power.
There isn't a grid provided to place the factors on, but if there were, each factor of x, y, and z would be placed in a separate cell, followed by the exponent 3 in another cell to denote cubing. If you encountered other exponential expressions such as 3².35, the process involves a similar concept of multiplying the exponent by the power it's raised to (3² = 3¹⁹).
Therefore, the fully factored expression is x³y³z³.