How do you simplify #\frac { 3^ { - 1} } { 3^ { - 1} + 3^ { - 2} }#?

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Answer 1 · 2017-11-14T13:07:51

#3/4#

#3^(-1)/(3^(-1)+3^(-2))#

=#(1/3)/(1/3+1/9)#

=#(1/3)/(4/9)#

=#1/3*9/4#

=#3/4#

Answer 2 · 2017-11-14T15:22:25

#3/4#

another way

#3^(-1)/(3^(-1)+3^(-2)#

multiply top and bottom by#" "3^2" "# in order to remove the negative powers

#3^(-1)/(3^(-1)+3^(-2))xx3^2/3^2#

#(3^(-1+2))/(3^(-1+2)+3^(-2+2))#

#3^1/(3^1+3^0)#

#=3/(3+1)=3/4#