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Sagot :
Sure, let's break down the expression step by step according to the order of operations (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):
1. First, solve the expression inside the parentheses:
[tex]\[ 5 - 9 = -4 \][/tex]
2. Next, apply the exponent to the result of the parentheses:
[tex]\[ (-4)^2 = 16 \][/tex]
3. Now, handle the division inside the second parentheses:
[tex]\[ 16 \div 8 = 2.0 \][/tex]
4. Then, perform the multiplication:
[tex]\[ 3 \times 2.0 = 6.0 \][/tex]
5. Finally, add all the parts together:
[tex]\[ 7 + 16 + 6.0 \][/tex]
6. Combine the results:
[tex]\[ 7 + 16 = 23 \\ 23 + 6.0 = 29.0 \][/tex]
So, the value of the expression is [tex]\( \boxed{29.0} \)[/tex].
1. First, solve the expression inside the parentheses:
[tex]\[ 5 - 9 = -4 \][/tex]
2. Next, apply the exponent to the result of the parentheses:
[tex]\[ (-4)^2 = 16 \][/tex]
3. Now, handle the division inside the second parentheses:
[tex]\[ 16 \div 8 = 2.0 \][/tex]
4. Then, perform the multiplication:
[tex]\[ 3 \times 2.0 = 6.0 \][/tex]
5. Finally, add all the parts together:
[tex]\[ 7 + 16 + 6.0 \][/tex]
6. Combine the results:
[tex]\[ 7 + 16 = 23 \\ 23 + 6.0 = 29.0 \][/tex]
So, the value of the expression is [tex]\( \boxed{29.0} \)[/tex].
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