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

$17/72$

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