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

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

Evalwa

$$\frac{685843200}{98431}\approx 6967.756093101$$

Passi tas-Soluzzjonijiet

Ikkalkula -12 bil-power ta' 4 u tikseb 20736.

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

Ikkalkula -45 bil-power ta' 3 u tikseb -91125.

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

Immultiplika 20736 u -91125 biex tikseb -1889568000.

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

Ikkalkula 70 bil-power ta' 2 u tikseb 4900.

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

Immultiplika -1889568000 u 4900 biex tikseb -9258883200000.

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

Ikkalkula -60 bil-power ta' 3 u tikseb -216000.

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

Ikkalkula 18 bil-power ta' 2 u tikseb 324.

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

Ikkalkula -45 bil-power ta' 4 u tikseb 4100625.

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

Immultiplika 324 u 4100625 biex tikseb 1328602500.

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

Naqqas 1328602500 minn -216000 biex tikseb -1328818500.

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

Naqqas il-frazzjoni \frac{-9258883200000}{-1328818500} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -13500.

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

Fattur

$$\frac{2 ^ {8} \cdot 3 ^ {7} \cdot 5 ^ {2} \cdot 7 ^ {2}}{257 \cdot 383} = 6967\frac{74423}{98431} = 6967.756093100751$$