How do you evaluate #12- 2| 3^ { 2} - 4^ { 2} | - 2^ { 3}#?

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Answer 1 · 2017-08-13T13:34:22

See a solution process below:

First, execute each of the Exponent operations:

#12 - 2abs(color(red)(3^2) - color(blue)(4^2)) - color(green)(2^3) => 12 - 2abs(9 - 16) - 8#

Next, execute the Subtraction operation within the absolute value funtion:

#12 - 2abs(color(red)(9 - 16)) - 8 => 12 - 2abs(7) - 8#

Then execute the Absolute Value function:

#12 - 2color(red)(abs(7)) - 8 => 12 - 2 * 7 - 8#

Next, execute the Multiplication operation:

#12 - color(red)(2 * 7) - 8 => 12 - 14 - 8#

Now, execute the Subtraction operations left to right:

#color(red)(12 - 14) - 8 => -2 - 8 => -10#