Resol (36*10^8)^2div(6*10^2)^2

$$( 36 \times 10 ^ { 8 } ) ^ { 2 } \div ( 6 \times 10 ^ { 2 } ) ^ { 2 }$$

Calcula

$$36000000000000$$

Passos de solució

Calculeu 10 elevat a 8 per obtenir 100000000.

$$\frac{\left(36\times 100000000\right)^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Multipliqueu 36 per 100000000 per obtenir 3600000000.

$$\frac{3600000000^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Calculeu 3600000000 elevat a 2 per obtenir 12960000000000000000.

$$\frac{12960000000000000000}{\left(6\times 10^{2}\right)^{2}}$$

Calculeu 10 elevat a 2 per obtenir 100.

$$\frac{12960000000000000000}{\left(6\times 100\right)^{2}}$$

Multipliqueu 6 per 100 per obtenir 600.

$$\frac{12960000000000000000}{600^{2}}$$

Calculeu 600 elevat a 2 per obtenir 360000.

$$\frac{12960000000000000000}{360000}$$

Dividiu 12960000000000000000 entre 360000 per obtenir 36000000000000.

$$36000000000000$$

Factoritzar

$$2^{14}\times 3^{2}\times 5^{12}$$