How do you simplify #3^-2+2^-3#?

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Answer 1 · 2017-12-21T08:47:32

#17/72#

Expression #= 3^-2 + 2^-3#

#= 1/3^2 + 1/2^3#

#= 1/9 + 1/8#

#= (8+9)/(9xx8)#

#= 17/72#

Answer 2 · 2017-12-21T09:58:33

As,

#a^(-m)=1/(a^m)#

#3^(-2) + 2^(-3)#

#darrcolor(white)(dddd)darr#

#1/(3^2) color(white)(d)+ color(white)(d) 1/2^3#

As,

#3^2=9,2^3=8#

#1/9+1/8#

Now find the LCM.... it is 72

#(1xx8)/(9xx8)+(1xx9)/(8xx9)#

#8/72+9/72#

Add

#17/72#