Question

evaluate the following expression.
|-27| + 3²
a. 36
b. -18
c. -21
d. 33

Explanation:

Step1: Calculate the absolute value

The absolute value of -27, denoted as $|-27|$, is 27 because the absolute value of a number is its distance from 0 on the number line, and distance is non - negative.

Step2: Calculate the exponent

Calculate $3^{2}$. By the definition of exponentiation, $3^{2}=3\times3 = 9$.

Step3: Add the two results

Add the result of the absolute value and the result of the exponentiation: $27 + 9=36$.

Answer:

A. 36