Question

Evaluate the expression for the given value of the variable. (Review 1.2) $$4\left(t^{3}\right) \text { when } t=3$$

Short answer

The value of the expression \(4t^3\) when \(t = 3\) is 108.

Step-by-step solution

Substitute the value of t

Firstly, substitute the value of the variable \(t\) in the expression with the provided value, which in this case is 3. The expression \(4t^3\) becomes \(4 \cdot (3)^3\).

Compute the exponentiation

Next, perform the operation of exponentiation before multiplication as according to the BODMAS/BIDMAS rule, which states that operations in an expression are carried out in the following order: Brackets, Orders (that is, powers and square roots, etc.), Division, Multiplication, Addition and Subtraction. So, calculate \((3)^3\) (which means 3 times 3 times 3), giving a result of 27.

Perform the multiplication

Finally, multiply the result from the previous step by 4 as indicated in the original expression. So, 4 times 27 equals 108.