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Use the order of operations to evaluate this expression:

[tex]\[ 7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right) \][/tex]

The value of the expression is [tex]\(\boxed{\quad}\)[/tex]

Sagot :

GinnyAnsweridn
To evaluate the expression [tex]\( 7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right) \)[/tex], we need to follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Let's break it down step-by-step:

1. Evaluate inside the parentheses/brackets first:
[tex]\[ 5 - 9 = -4 \][/tex]

2. Apply the exponent to the result:
[tex]\[ (-4)^2 = 16 \][/tex]

3. Perform the division inside the parentheses/brackets:
[tex]\[ \frac{16}{8} = 2 \][/tex]

4. Multiply the result by 3:
[tex]\[ 3 \times 2 = 6 \][/tex]

5. Add all the results together:
[tex]\[ 7 + 16 + 6 = 29 \][/tex]

Therefore, the value of the expression [tex]\( 7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right) \)[/tex] is [tex]\( \boxed{29} \)[/tex].
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