How do you evaluate -( 5) ^ { 2} + 3( 5) + 2?

Oct 25, 2017

$- 8$

Explanation:

$- {5}^{2} + 3 \left(5\right) + 2 = - {5}^{2} + 3 \cdot 5 + 2$

Use the order of operations to figure out which operator to evaluate first.
Order of precedence:
1. Parenthesis
2. Exponent
3. Multiplication, Division (whichever comes first you evaluate)
4. Addition, Subtraction (whichever comes first you evaluate)

So looking at the expression, we must first evaluate the exponent.
$= - 25 + 3 \cdot 5 + 2$

Next, we do the multiplication operator.
$= - 25 + 15 + 2$

Then, we do the addition operators.
$= - 10 + 2$
$= - 8$