Issolvi 5^47^52^9/84^9{5^2}

$$\frac{ { 5 }^{ 4 } { 7 }^{ 5 } { 2 }^{ 9 } }{ 8 { 4 }^{ 9 } { 5 }^{ 2 } }$$

Evalwa

$$\frac{420175}{4096}=102.581787109$$

Passi tas-Soluzzjonijiet

Annulla 5^{2} fin-numeratur u d-denominatur.

$$\frac{2^{9}\times 5^{2}\times 7^{5}}{8\times 4^{9}}$$

Ikkalkula 2 bil-power ta' 9 u tikseb 512.

$$\frac{512\times 5^{2}\times 7^{5}}{8\times 4^{9}}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{512\times 25\times 7^{5}}{8\times 4^{9}}$$

Immultiplika 512 u 25 biex tikseb 12800.

$$\frac{12800\times 7^{5}}{8\times 4^{9}}$$

Ikkalkula 7 bil-power ta' 5 u tikseb 16807.

$$\frac{12800\times 16807}{8\times 4^{9}}$$

Immultiplika 12800 u 16807 biex tikseb 215129600.

$$\frac{215129600}{8\times 4^{9}}$$

Ikkalkula 4 bil-power ta' 9 u tikseb 262144.

$$\frac{215129600}{8\times 262144}$$

Immultiplika 8 u 262144 biex tikseb 2097152.

$$\frac{215129600}{2097152}$$

Naqqas il-frazzjoni \frac{215129600}{2097152} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 512.

$$\frac{420175}{4096}$$

Fattur

$$\frac{5 ^ {2} \cdot 7 ^ {5}}{2 ^ {12}} = 102\frac{2383}{4096} = 102.581787109375$$