Question

Evaluate the expression for the given value of the variable. $$ w^{3} \text { when } w=13 $$

Short answer

The value of the expression \(w^{3}\) when \(w = 13\) is 2197.

Step-by-step solution

Understand the expression

In the expression \(w^{3}\), the exponent \(3\) indicates that the base \(w\) is to be multiplied by itself twice. So, \(w^{3}\) can be expanded to \(w * w * w\).

Substitute the given value

Replace the variable \(w\) with the given value which is 13. The expression now becomes \(13 * 13 * 13\).

Calculation

Continue by performing the multiplication operation. Multiply 13 by itself twice, which yields 2197.