Evaluate the expression. 4² + 5 – 3² – 4 ÷ 2³

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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