Lahenda [(3/4)^-1-(3/2)^2]^-2

$$[ ( \frac { 3 } { 4 } ) ^ { - 1 } - ( \frac { 3 } { 2 } ) ^ { 2 } ] ^ { - 2 }$$

Arvuta

$$\frac{144}{121}\approx 1,190082645$$

Lahenduse etapid

Arvutage -1 aste \frac{3}{4} ja leidke \frac{4}{3}.

$$\left(\frac{4}{3}-\left(\frac{3}{2}\right)^{2}\right)^{-2}$$

Arvutage 2 aste \frac{3}{2} ja leidke \frac{9}{4}.

$$\left(\frac{4}{3}-\frac{9}{4}\right)^{-2}$$

Lahutage \frac{9}{4} väärtusest \frac{4}{3}, et leida -\frac{11}{12}.

$$\left(-\frac{11}{12}\right)^{-2}$$

Arvutage -2 aste -\frac{11}{12} ja leidke \frac{144}{121}.

$$\frac{144}{121}$$

Lahuta teguriteks

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{11 ^ {2}} = 1\frac{23}{121} = 1,1900826446280992$$