Lahenda {left(31/8right)}^12{left(8/25right)}^11-2^3

$${ \left(3 \frac{ 1 }{ 8 } \right) }^{ 12 } { \left( \frac{ 8 }{ 25 } \right) }^{ 11 } { -2 }^{ 3 }$$

Arvuta

$$-25$$

Lahenduse etapid

Korrutage 3 ja 8, et leida 24.

$$\left(\frac{24+1}{8}\right)^{12}\times \left(\frac{8}{25}\right)^{11}\left(-2\right)^{3}$$

Liitke 24 ja 1, et leida 25.

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

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

$$\frac{59604644775390625}{68719476736}\times \left(\frac{8}{25}\right)^{11}\left(-2\right)^{3}$$

Arvutage 11 aste \frac{8}{25} ja leidke \frac{8589934592}{2384185791015625}.

$$\frac{59604644775390625}{68719476736}\times \frac{8589934592}{2384185791015625}\left(-2\right)^{3}$$

Korrutage \frac{59604644775390625}{68719476736} ja \frac{8589934592}{2384185791015625}, et leida \frac{25}{8}.

$$\frac{25}{8}\left(-2\right)^{3}$$

Arvutage 3 aste -2 ja leidke -8.

$$\frac{25}{8}\left(-8\right)$$

Korrutage \frac{25}{8} ja -8, et leida -25.

$$-25$$

Lahuta teguriteks

$$-25$$