Question

Evaluate the expression. $$\frac{1}{2} \cdot 26-3^{2}$$

Short answer

The evaluation of the expression \(\frac{1}{2} \cdot 26-3^{2}\) is 4.

Step-by-step solution

Solve the power operation

The given expression involves 3^2. The power operation means 3 should be multiplied by itself. So, 3^2 = 3 * 3 = 9.

Perform the multiplication operation

Now, perform the multiplication operation in the expression. That is, multiply 1/2 by 26. This results in 1/2 * 26 = 13.

Perform the subtraction operation

After performing the multiplication operation, the expression is '13 - 9'. Hence, the subtraction operation results in 13 - 9 = 4.