Question

814−(7+4²) / (|−12|−|−8|)

Explanation:

Step1: Calculate innermost exponent

$4^2 = 16$

Step2: Add inside inner parentheses

$7 + 16 = 23$

Step3: Subtract inside brackets

$14 - 23 = -9$

Step4: Multiply numerator

$8 \times (-9) = -72$

Step5: Calculate absolute values

$|-12| = 12$, $|-8| = 8$

Step6: Subtract denominator

$12 - 8 = 4$

Step7: Divide numerator by denominator

$\frac{-72}{4} = -18$ Wait correction: Wait step3 is 14 - 23 = -9, step4:8(-9)=-72, denominator 12-8=4, -72/4=-18? Wait no wait original problem: Wait the problem's answer in the circle is -1, did I miscalculate? Wait wait 4 squared is 16, 7+16=23, 14-23=-9, 8(-9)=-72, denominator |-12| - |-8|=12-8=4, -72/4=-18. But the circle says -1, maybe typo? Wait no wait maybe the problem is different? Wait no the user's image shows 8[14-(7+4²)] / (|-12| - |-8|). Let me recalculate: 4²=16, 7+16=23,14-23=-9,8(-9)=-72, denominator 12-8=4, -72/4=-18. But the circle has -1, maybe the problem was written wrong? Wait maybe the numerator is 8[14-(7+4)]? Then 7+4=11,14-11=3,83=24, denominator 4,24/4=6 no. Or denominator |-12 - (-8)|=|-4|=4 same. Or numerator 1[14-(7+4²)]:1(-9)=-9/-4? No. Wait maybe the problem in the image has a typo, but according to the given expression, the calculation is -18. Wait but the user's image has a circle with -1, maybe I misread the expression? Wait let me check again: numerator is 8[14-(7+4²)], denominator |-12| - |-8|. Yes, that's correct. So the calculation gives -18, but the circle says -1. Maybe the problem was supposed to be 8[14-(7+4)] / (|-12| + |-8|)? 83/(20)=24/20=6/5 no. Or 1[14-(7+4)]/(12-8)=3/4 no. Alternatively maybe the numerator is 8[14-(7+2²)]:2²=4,7+4=11,14-11=3,83=24/4=6. No. Alternatively denominator |-12 - (-8)|=4 same. Hmm. But according to the mathematical calculation of the given expression, the answer is -18. Wait but the user's image has a circle with -1, maybe it's a mistake. But I have to follow the calculation. Wait wait wait: wait 4 squared is 16, yes. 7+16=23, yes.14-23=-9, yes.8-9=-72, yes. Denominator 12-8=4, yes. -72/4=-18. So the correct answer is -18. Maybe the circle in the image is wrong. So I'll go with the calculation result.

Wait no wait wait a second: did I misread the numerator? Is it 8[14-(7+4)^2]? Let's try:7+4=11,11²=121,14-121=-107,8*-107=-856/4=-214 no. No. So the original expression's calculation is -18. So the answer is -18.

Step1: Compute exponent

$4^2 = 16$

Step2: Add inside inner parentheses

$7 + 16 = 23$

Step3: Subtract inside brackets

$14 - 23 = -9$

Step4: Multiply numerator

$8 \times (-9) = -72$

Step5: Calculate absolute values

$|-12| = 12$, $|-8| = 8$

Step6: Subtract denominator

$12 - 8 = 4$

Step7: Divide to get result

$\frac{-72}{4} = -18$

Answer:

-4