Question

Evaluate the expression for the given value of the variable. $$5 y^{3} \text { when } y=4$$

Short answer

The value of the expression \(5y^3\) when \(y = 4\) is 320.

Step-by-step solution

Substitute

The first step is to substitute the value of \(y\) given, which is 4, into the expression \(5y^3\). This gives us \(5(4)^3\).

Simplify

Next, we follow the order of operations. Start by calculating the cube of 4, which is \(4^3 = 4*4*4 = 64\). Then we multiply this by 5 to obtain \(5 * 64\).

Calculate

Finally, by multiplying 5 and 64 together, the outcome will be 320. Therefore, the value of the expression \(5y^3\) when \(y = 4\) is 320.