To calculate \( \frac{1}{2}(5 + 2)^3 \), follow these steps:
-
Calculate the expression inside the parentheses: \[ 5 + 2 = 7 \]
-
Raise the result to the power of 3: \[ 7^3 = 7 \times 7 \times 7 = 343 \]
-
Multiply by \( \frac{1}{2} \): \[ \frac{1}{2} \times 343 = \frac{343}{2} = 171.5 \]
Thus, the result is: \[ \frac{1}{2}(5 + 2)^3 = 171.5 \]