How do you evaluate #(- 1) ^ { - 2} - ( - 8) ^ { 0} + \frac { \sqrt { 25} } { 3^ { 2} } \div \frac { 25} { - 12}#?

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Answer 1 · 2017-11-28T16:40:42

#-4/15#

There are three terms in the expression.

Simplify each term to a single value and then add or subtract them in the last step.

#color(blue)((-1)^-2)" "color(red)( - (-8)^0)" "color(forestgreen)( + sqrt25/3^2 div 25/(-12))#

#=color(blue)(1/(-1)^2)" "color(red)( - (1)" "color(forestgreen)( + 5/9 xx(-12)/25#

#=color(blue)(1/1)" "color(red)( -1)" "color(forestgreen)( + cancel5/cancel9^3 xx(-cancel12^4)/cancel25^5#

#=color(blue)(1)" "color(red)( -1)" "color(forestgreen)( -4/15) #

#=-4/15#