Simplify the following expression.
8 - 4[(5 + 2)2 - (23 + 4)]
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just work you way from the inside out:
8 - 4[(5 + 2)2 - (23 + 4)]
8 - 4[(7)2 - (27)]
8 - 4[14-27]
8-4[-13]
8+4[13]
8+52
60
To simplify the given expression 8 - 4[(5 + 2)2 - (23 + 4)], we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Let's break down the steps:
1. Parentheses:
Inside the parentheses, we have (5 + 2) and (23 + 4). We can simplify these first:
(5 + 2) = 7
(23 + 4) = 27
Now, the expression becomes: 8 - 4[7² - 27]
2. Exponents:
Next, we need to calculate the exponent 7²:
7² = 7 × 7 = 49
The expression becomes: 8 - 4[49 - 27]
3. Multiplication:
We multiply 4 by the result of the subtraction within the brackets:
49 - 27 = 22
4 × 22 = 88
The expression becomes: 8 - 88
4. Subtraction:
Finally, we subtract 88 from 8:
8 - 88 = -80
Therefore, the simplified expression is -80.