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Using the order of operations, what should be done first to evaluate [tex][tex]$(-2)^5 + 4 \cdot (-15 + 9)(3) = 4$[/tex][/tex]?

A. Add -15 and 9.
B. Divide 4 by -15.
C. Subtract 4 from 3.
D. Multiply 9 by 3.

Sagot :

GinnyAnsweridn
To evaluate the expression [tex]\((-2)^5 + 4 \cdot (-15 + 9)(3) = 4\)[/tex], let's break it down step by step using the order of operations:

1. Evaluate expressions inside parentheses first:

The first parentheses we address is [tex]\((-15 + 9)\)[/tex].
[tex]\[ -15 + 9 = -6 \][/tex]

Now the expression becomes:
[tex]\[ (-2)^5 + 4 \cdot (-6)(3) \][/tex]

2. Next, handle the exponents:

Evaluate [tex]\((-2)^5\)[/tex] as follows:
[tex]\[ (-2)^5 = -32 \][/tex]

Now the expression becomes:
[tex]\[ -32 + 4 \cdot (-6)(3) \][/tex]

3. Perform multiplication from left to right:

There are two multiplication operations to perform: [tex]\(4 \cdot (-6)\)[/tex] and then the result multiplied by 3.

[tex]\[ 4 \cdot (-6) = -24 \][/tex]

[tex]\[ -24 \cdot 3 = -72 \][/tex]

Now the expression becomes:
[tex]\[ -32 + (-72) \][/tex]

4. Finally, perform the addition (or adding a negative number, which is essentially subtraction):

[tex]\[ -32 + (-72) = -104 \][/tex]

So, the value of the expression [tex]\((-2)^5 + 4 \cdot (-15 + 9)(3)\)[/tex] is [tex]\(-104\)[/tex]. However, it seems there's a mistake in aligning with the given information which states a different expected answer. According to the given answer, only evaluating [tex]\(-15 + 9\)[/tex] directly yields:

[tex]\[ -15 + 9 = -6 \][/tex]
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