Issolvi (5.2)^4*(10.3)^3/(9.9)^2

$$\frac { ( 5.2 ) ^ { 4 } \cdot ( 10.3 ) ^ { 3 } } { ( 9.9 ) ^ { 2 } }$$

Evalwa

$$\frac{249675006776}{30628125}\approx 8151.821463965$$

Passi tas-Soluzzjonijiet

Ikkalkula 5.2 bil-power ta' 4 u tikseb 731.1616.

$$\frac{731.1616\times 10.3^{3}}{9.9^{2}}$$

Ikkalkula 10.3 bil-power ta' 3 u tikseb 1092.727.

$$\frac{731.1616\times 1092.727}{9.9^{2}}$$

Immultiplika 731.1616 u 1092.727 biex tikseb 798960.0216832.

$$\frac{798960.0216832}{9.9^{2}}$$

Ikkalkula 9.9 bil-power ta' 2 u tikseb 98.01.

$$\frac{798960.0216832}{98.01}$$

Espandi \frac{798960.0216832}{98.01} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000.

$$\frac{7989600216832}{980100000}$$

Naqqas il-frazzjoni \frac{7989600216832}{980100000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 32.

$$\frac{249675006776}{30628125}$$

Fattur

$$\frac{2 ^ {3} \cdot 13 ^ {4} \cdot 103 ^ {3}}{3 ^ {4} \cdot 5 ^ {5} \cdot 11 ^ {2}} = 8151\frac{25159901}{30628125} = 8151.821463964901$$