Lahenda 8^-1+{left(frac{2/3right)}^-2-5^0}{{left(2/3right)}^-2+4^-1-7^0}+31/21

$$\frac{ { 8 }^{ -1 } + { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } - { 5 }^{ 0 } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } + { 4 }^{ -1 } - { 7 }^{ 0 } } + \frac{ 31 }{ 21 }$$

Arvuta

$$\frac{67}{28}\approx 2,392857143$$

Lahenduse etapid

Arvutage -1 aste 8 ja leidke \frac{1}{8}.

$$\frac{\frac{1}{8}+\left(\frac{2}{3}\right)^{-2}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{1}{8}+\frac{9}{4}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Liitke \frac{1}{8} ja \frac{9}{4}, et leida \frac{19}{8}.

$$\frac{\frac{19}{8}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Arvutage 0 aste 5 ja leidke 1.

$$\frac{\frac{19}{8}-1}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Lahutage 1 väärtusest \frac{19}{8}, et leida \frac{11}{8}.

$$\frac{\frac{11}{8}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+\frac{1}{4}-7^{0}}+\frac{31}{21}$$

Liitke \frac{9}{4} ja \frac{1}{4}, et leida \frac{5}{2}.

$$\frac{\frac{11}{8}}{\frac{5}{2}-7^{0}}+\frac{31}{21}$$

Arvutage 0 aste 7 ja leidke 1.

$$\frac{\frac{11}{8}}{\frac{5}{2}-1}+\frac{31}{21}$$

Lahutage 1 väärtusest \frac{5}{2}, et leida \frac{3}{2}.

$$\frac{\frac{11}{8}}{\frac{3}{2}}+\frac{31}{21}$$

Jagage \frac{11}{8} väärtusega \frac{3}{2}, korrutades \frac{11}{8} väärtuse \frac{3}{2} pöördväärtusega.

$$\frac{11}{8}\times \frac{2}{3}+\frac{31}{21}$$

Korrutage \frac{11}{8} ja \frac{2}{3}, et leida \frac{11}{12}.

$$\frac{11}{12}+\frac{31}{21}$$

Liitke \frac{11}{12} ja \frac{31}{21}, et leida \frac{67}{28}.

$$\frac{67}{28}$$

Lahuta teguriteks

$$\frac{67}{2 ^ {2} \cdot 7} = 2\frac{11}{28} = 2,392857142857143$$