Issolvi frac{5^{7}}{7^{6}}*(7/5)^6-3^6/2^5*(2/3)^5

$$\frac { 5 ^ { 7 } } { 7 ^ { 6 } } \cdot ( \frac { 7 } { 5 } ) ^ { 6 } - \frac { 3 ^ { 6 } } { 2 ^ { 5 } } \cdot ( \frac { 2 } { 3 } ) ^ { 5 }$$

Evalwa

$$2$$

Passi tas-Soluzzjonijiet

Ikkalkula 5 bil-power ta' 7 u tikseb 78125.

$$\frac{78125}{7^{6}}\times \left(\frac{7}{5}\right)^{6}-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Ikkalkula 7 bil-power ta' 6 u tikseb 117649.

$$\frac{78125}{117649}\times \left(\frac{7}{5}\right)^{6}-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Ikkalkula \frac{7}{5} bil-power ta' 6 u tikseb \frac{117649}{15625}.

$$\frac{78125}{117649}\times \frac{117649}{15625}-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Immultiplika \frac{78125}{117649} b'\frac{117649}{15625} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{78125\times 117649}{117649\times 15625}-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Annulla 117649 fin-numeratur u d-denominatur.

$$\frac{78125}{15625}-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Iddividi 78125 b'15625 biex tikseb5.

$$5-\frac{3^{6}}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Ikkalkula 3 bil-power ta' 6 u tikseb 729.

$$5-\frac{729}{2^{5}}\times \left(\frac{2}{3}\right)^{5}$$

Ikkalkula 2 bil-power ta' 5 u tikseb 32.

$$5-\frac{729}{32}\times \left(\frac{2}{3}\right)^{5}$$

Ikkalkula \frac{2}{3} bil-power ta' 5 u tikseb \frac{32}{243}.

$$5-\frac{729}{32}\times \frac{32}{243}$$

Immultiplika \frac{729}{32} b'\frac{32}{243} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$5-\frac{729\times 32}{32\times 243}$$

Annulla 32 fin-numeratur u d-denominatur.

$$5-\frac{729}{243}$$

Iddividi 729 b'243 biex tikseb3.

$$5-3$$

Naqqas 3 minn 5 biex tikseb 2.

$$2$$

Fattur

$$2$$