Rešite (36*10^8)^2div(6*10^2)^2

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

Ovrednoti

$$36000000000000$$

Koraki rešitve

Izračunajte potenco 10 števila 8, da dobite 100000000.

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

Pomnožite 36 in 100000000, da dobite 3600000000.

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

Izračunajte potenco 3600000000 števila 2, da dobite 12960000000000000000.

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

Izračunajte potenco 10 števila 2, da dobite 100.

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

Pomnožite 6 in 100, da dobite 600.

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

Izračunajte potenco 600 števila 2, da dobite 360000.

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

Delite 12960000000000000000 s/z 360000, da dobite 36000000000000.

$$36000000000000$$

Faktoriziraj

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