22) - 4[3 + (- 5) ^ 2] / 7
To simplify the expression, we'll start by applying the exponent to (-5):
(-5) ^ 2 = (-5) * (-5) = 25
Next, we'll substitute this value back into the expression:
-4[3 + 25] / 7
Within the brackets, we have:
3 + 25 = 28
Substituting this value back into the expression:
-4 * 28 / 7
Simplifying further:
-112 / 7
Finally, this expression can be simplified:
-16
To simplify this expression, follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) step-by-step.
Step 1: Simplify the expression inside the brackets.
Within the brackets, (-5) is squared, which equals 25:
3 + (-5) ^ 2 = 3 + 25 = 28
Step 2: Multiply the result from step 1 by 4.
-4 * 28 = -112
Step 3: Divide the result from step 2 by 7.
-112 / 7 = -16
Therefore, the simplified value of the expression -4[3 + (-5) ^ 2] / 7 is -16.
To solve this expression step-by-step, follow these steps:
Step 1: Simplify the expression inside the parentheses:
(-5) ^ 2 = 25
Step 2: Perform the exponentiation operation:
3 + 25 = 28
Step 3: Simplify the expression inside the square brackets:
4 * 28 = 112
Step 4: Divide the result by 7:
112 / 7 = 16
Therefore, the value of the expression 22) - 4[3 + (- 5) ^ 2] / 7 is 16.