How do you evaluate #\frac { 2( 5- 7^ { 2} ) } { 12} - ( 3^ { 2} ) + | - 6+ 1|#?

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Answer 1 · 2017-12-02T13:33:03

the answer is #-34/3#

we can solve this as #2(5-7^2)/12-(3^2)+|-6+1|=(5-49)/6-9+|-5|#
#rArr(-44)/6-9+5=(-22)/3-4=(-22-12)/3=-34/3#

Answer 2 · 2017-12-02T16:18:36

#=-11 1/3#

There are #3# terms.
Calculate an answer for each of them and then add or subtract the answers in the final step.

Within each bracket the correct order is:

Brackets
Powers and roots
Multiply and Divide

#color(blue)((2(5-7^2))/12)" "color(red)( -(3^2))" "color(forestgreen)( + |-6+1|)#

#=color(blue)((2(5-49))/12)" "color(red)( -(9))" "color(forestgreen)( + |-5|)#

#=color(blue)((cancel2(-44))/cancel12^6)" "color(red)( -9)" "color(forestgreen)( + 5)#

#=color(blue)((-cancel(44)^22)/cancel6^3)" "color(red)( -9)" "color(forestgreen)( + 5)#

#=color(blue)(-7 1/3" "color(red)( -9)" "color(forestgreen)( + 5)#

#=-11 1/3#