Resol (228*10^11)^3/(594*10^7)^2

$$\frac { ( 228 \times 10 ^ { 11 } ) ^ { 3 } } { ( 594 \times 10 ^ { 7 } ) ^ { 2 } }$$

Calcula

$$\frac{1097440000000000000000000}{3267}\approx 3,359167432 \cdot 10^{20}$$

Passos de solució

Calculeu 10 elevat a 11 per obtenir 100000000000.

$$\frac{\left(228\times 100000000000\right)^{3}}{\left(594\times 10^{7}\right)^{2}}$$

Multipliqueu 228 per 100000000000 per obtenir 22800000000000.

$$\frac{22800000000000^{3}}{\left(594\times 10^{7}\right)^{2}}$$

Calculeu 22800000000000 elevat a 3 per obtenir 11852352000000000000000000000000000000000.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10^{7}\right)^{2}}$$

Calculeu 10 elevat a 7 per obtenir 10000000.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10000000\right)^{2}}$$

Multipliqueu 594 per 10000000 per obtenir 5940000000.

$$\frac{11852352000000000000000000000000000000000}{5940000000^{2}}$$

Calculeu 5940000000 elevat a 2 per obtenir 35283600000000000000.

$$\frac{11852352000000000000000000000000000000000}{35283600000000000000}$$

Redueix la fracció \frac{11852352000000000000000000000000000000000}{35283600000000000000} al màxim extraient i anul·lant 10800000000000000.

$$\frac{1097440000000000000000000}{3267}$$

Factoritzar

$$\frac{2 ^ {23} \cdot 5 ^ {19} \cdot 19 ^ {3}}{3 ^ {3} \cdot 11 ^ {2}} = 3,3591674318947042 \times 10^{20}\frac{1353}{3267} = 3,3591674318947042 \times 10^{20}$$