Evaluate the expression. 4² + 5 – 3² – 4 ÷ 2³
12.625
45
222
59
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To evaluate the expression (4² + 5 – 3² – 4 ÷ 2³), we’ll follow the order of operations (PEMDAS/BODMAS).
1. Calculate the exponents:
– (4² = 16)
– (3² = 9)
– (2³ = 8)
2. Substitute back into the expression:
– The expression now is (16 + 5 – 9 – 4 ÷ 8).
3. Next, perform the division:
– (4 ÷ 8 = 0.5)
4. Now substitute this value back:
– The expression becomes (16 + 5 – 9 – 0.5).
5. Now, solve the expression from left to right:
– (16 + 5 = 21)
– (21 – 9 = 12)
– (12 – 0.5 = 11.5)
The correct evaluated result of the expression (4² + 5 – 3² – 4 ÷ 2³) is 11.5.
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