Question

1. 1 + (-2 - 5)² + (14 - 17)·4

Explanation:

Step1: Calculate inside parentheses

First, simplify the expressions inside the parentheses: \((-2 - 5)= -7\) and \((14 - 17)= -3\).
The expression becomes \(1 + (-7)^{2}+ (-3)\cdot4\).

Step2: Evaluate exponents and multiplications

Evaluate \((-7)^{2}= 49\) (since squaring a negative gives a positive) and \((-3)\cdot4 = -12\).
Now the expression is \(1 + 49 - 12\).

Step3: Perform addition and subtraction

First, add \(1\) and \(49\): \(1 + 49 = 50\).
Then subtract \(12\) from \(50\): \(50 - 12 = 38\).

Answer:

\(38\)