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

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

Avaliar

$$36000000000000$$

Passos Para a Resolução

Calcule 10 elevado a 8 e obtenha 100000000.

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

Multiplique 36 e 100000000 para obter 3600000000.

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

Calcule 3600000000 elevado a 2 e obtenha 12960000000000000000.

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

Calcule 10 elevado a 2 e obtenha 100.

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

Multiplique 6 e 100 para obter 600.

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

Calcule 600 elevado a 2 e obtenha 360000.

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

Dividir 12960000000000000000 por 360000 para obter 36000000000000.

$$36000000000000$$

Fatorizar

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