Question

Evaluate the expressions using the order of (-14+20)^(2)*4-:(14-26) (-14+20)^(2)*4+(14-26)

Answer 1

The given expressions, when evaluated using the order of operations, result in -12 for the first expression and 132 for the second expression.

Step-by-step explanation:

To evaluate the expressions given, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

• First, we calculate the parentheses: (-14 + 20) and (14 - 26).
• Next, we apply the exponent to the result of the first set of parentheses, which is 6^2.
• After that, we multiply by 4 and divide by the result of the second set of parentheses, which is -12.
• Finally, we perform the addition and subtraction as they appear in the expression.

The steps are as follows:

1. (-14 + 20) = 6 and (14 - 26) = -12.
2. 6^2 = 36.
3. 36 * 4 = 144.
4. 144 divided by -12 = -12.
5. -12 - (-12) = -12 + 12 = 0.
6. 144 + (-12) = 144 - 12 = 132.

Therefore, the evaluated expressions are -12 and 132, respectively.