Lahenda frac{(-12)^{4}(-45)^{3}*70^2}{(-60)^3-18^2(-45)^4}

$$\frac { ( - 12 ) ^ { 4 } ( - 45 ) ^ { 3 } \cdot 70 ^ { 2 } } { ( - 60 ) ^ { 3 } - 18 ^ { 2 } ( - 45 ) ^ { 4 } }$$

Arvuta

$$\frac{685843200}{98431}\approx 6967,756093101$$

Lahenduse etapid

Arvutage 4 aste -12 ja leidke 20736.

$$\frac{20736\left(-45\right)^{3}\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Arvutage 3 aste -45 ja leidke -91125.

$$\frac{20736\left(-91125\right)\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Korrutage 20736 ja -91125, et leida -1889568000.

$$\frac{-1889568000\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Arvutage 2 aste 70 ja leidke 4900.

$$\frac{-1889568000\times 4900}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Korrutage -1889568000 ja 4900, et leida -9258883200000.

$$\frac{-9258883200000}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Arvutage 3 aste -60 ja leidke -216000.

$$\frac{-9258883200000}{-216000-18^{2}\left(-45\right)^{4}}$$

Arvutage 2 aste 18 ja leidke 324.

$$\frac{-9258883200000}{-216000-324\left(-45\right)^{4}}$$

Arvutage 4 aste -45 ja leidke 4100625.

$$\frac{-9258883200000}{-216000-324\times 4100625}$$

Korrutage 324 ja 4100625, et leida 1328602500.

$$\frac{-9258883200000}{-216000-1328602500}$$

Lahutage 1328602500 väärtusest -216000, et leida -1328818500.

$$\frac{-9258883200000}{-1328818500}$$

Taandage murd \frac{-9258883200000}{-1328818500} vähimale ühiskordsele, eraldades ja taandades arvu -13500.

$$\frac{685843200}{98431}$$

Lahuta teguriteks

$$\frac{2 ^ {8} \cdot 3 ^ {7} \cdot 5 ^ {2} \cdot 7 ^ {2}}{257 \cdot 383} = 6967\frac{74423}{98431} = 6967,756093100751$$