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Sagot :
To evaluate the expression [tex]\[(-2)^3 + 4 \div (-15 + 9) \cdot (3) - 4\][/tex], we will follow the order of operations, which is represented by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
The first step is to evaluate any expressions within parentheses. Let's look at the given options:
1. Add -15 and 9.
2. Divide 4 by -15.
3. Subtract 4 from 3.
4. Multiply 9 by 3.
According to PEMDAS, we start with the operations within the parentheses before any other operations.
In this case, [tex]\((-15 + 9)\)[/tex] is the expression within the parentheses.
So, the first thing we should do is:
Add -15 and 9.
This simplifies the expression inside the parentheses:
-15 + 9 = -6
Now the expression becomes:
[tex]\[(-2)^3 + 4 \div (-6) \cdot (3) - 4\][/tex]
We can then proceed to the next steps following the order of operations.
The first step is to evaluate any expressions within parentheses. Let's look at the given options:
1. Add -15 and 9.
2. Divide 4 by -15.
3. Subtract 4 from 3.
4. Multiply 9 by 3.
According to PEMDAS, we start with the operations within the parentheses before any other operations.
In this case, [tex]\((-15 + 9)\)[/tex] is the expression within the parentheses.
So, the first thing we should do is:
Add -15 and 9.
This simplifies the expression inside the parentheses:
-15 + 9 = -6
Now the expression becomes:
[tex]\[(-2)^3 + 4 \div (-6) \cdot (3) - 4\][/tex]
We can then proceed to the next steps following the order of operations.
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