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

2 Answers
Nov 14, 2017

3/4

Explanation:

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

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

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

=1/3*9/4

=3/4

Nov 14, 2017

3/4

Explanation:

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