Lahenda (31/8)^12*(8/7)^11*(-2)^3

$$( 3 \frac { 1 } { 8 } ) ^ { 12 } \times ( \frac { 8 } { 7 } ) ^ { 11 } \times ( - 2 ) ^ { 3 }$$

Arvuta

$$-\frac{59604644775390625}{1977326743}\approx -30144054,333154096$$

Lahenduse etapid

Korrutage 3 ja 8, et leida 24.

$$\left(\frac{24+1}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Liitke 24 ja 1, et leida 25.

$$\left(\frac{25}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Arvutage 12 aste \frac{25}{8} ja leidke \frac{59604644775390625}{68719476736}.

$$\frac{59604644775390625}{68719476736}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Arvutage 11 aste \frac{8}{7} ja leidke \frac{8589934592}{1977326743}.

$$\frac{59604644775390625}{68719476736}\times \frac{8589934592}{1977326743}\left(-2\right)^{3}$$

Korrutage \frac{59604644775390625}{68719476736} ja \frac{8589934592}{1977326743}, et leida \frac{59604644775390625}{15818613944}.

$$\frac{59604644775390625}{15818613944}\left(-2\right)^{3}$$

Arvutage 3 aste -2 ja leidke -8.

$$\frac{59604644775390625}{15818613944}\left(-8\right)$$

Korrutage \frac{59604644775390625}{15818613944} ja -8, et leida -\frac{59604644775390625}{1977326743}.

$$-\frac{59604644775390625}{1977326743}$$

Lahuta teguriteks

$$-\frac{59604644775390625}{1977326743} = -30144054\frac{658754502}{1977326743} = -30144054,333154093$$