Question

Evaluate the expression for the given value of the variable. $$ (5 w)^{3} \text { when } w=5 $$

Short answer

The value of the expression \((5w)^3\) when \(w = 5\) is \(15625\).

Step-by-step solution

Substitution

Replace \(w\) in the original expression with the given value. So, \((5w)^3\) becomes \((5 * 5)^3\).

Simplify the base

Multiply the numbers within the parenthesis first to get the base of the expression. This results in \(25^3\).

Apply exponent

Finally, calculate \(25^3\) (or 25 * 25 * 25) to find the final result.