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Simplify the expression using the order of operations.

[tex]\[ 7(13-5)^2 + 22 \div 11 \][/tex]

A. 2270
B. 114
C. 481
D. 450

Sagot :

GinnyAnswer
Let's simplify the expression [tex]\( 7(13-5)^2 + 22 \div 11 \)[/tex] step-by-step using the order of operations.

1. Evaluate the expression inside the parentheses:
[tex]\[ (13 - 5) \][/tex]
[tex]\[ 13 - 5 = 8 \][/tex]

2. Evaluate the exponent:
[tex]\[ 8^2 \][/tex]
[tex]\[ 8^2 = 64 \][/tex]

3. Multiply by 7:
[tex]\[ 7 \times 64 \][/tex]
[tex]\[ 7 \times 64 = 448 \][/tex]

4. Divide 22 by 11:
[tex]\[ 22 \div 11 \][/tex]
[tex]\[ 22 \div 11 = 2 \][/tex]

5. Add the two terms:
[tex]\[ 448 + 2 \][/tex]
[tex]\[ 448 + 2 = 450 \][/tex]

Thus, the simplified value of the expression [tex]\( 7(13-5)^2 + 22 \div 11 \)[/tex] is 450.
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