Rešite frac{(10^{-2})^{2^{2^{2}}}*[(10^{-2})^3^2^2]^-1}{5}

$$\frac { ( 10 ^ { - 2 } ) ^ { 2 ^ { 2 ^ { 2 } } } \cdot [ ( 10 ^ { - 2 } ) ^ { 3 ^ { 2 ^ { 2 } } } ] ^ { - 1 } } { 5 }$$

Ovrednoti

$$2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Koraki rešitve

Izračunajte potenco 10 števila -2, da dobite \frac{1}{100}.

$$\frac{\left(\frac{1}{100}\right)^{2^{2^{2}}}\times \left(\left(10^{-2}\right)^{3^{2^{2}}}\right)^{-1}}{5}$$

Izračunajte potenco 2 števila 2, da dobite 4.

$$\frac{\left(\frac{1}{100}\right)^{2^{4}}\times \left(\left(10^{-2}\right)^{3^{2^{2}}}\right)^{-1}}{5}$$

Izračunajte potenco 2 števila 4, da dobite 16.

$$\frac{\left(\frac{1}{100}\right)^{16}\times \left(\left(10^{-2}\right)^{3^{2^{2}}}\right)^{-1}}{5}$$

Izračunajte potenco \frac{1}{100} števila 16, da dobite \frac{1}{100000000000000000000000000000000}.

$$\frac{\frac{1}{100000000000000000000000000000000}\times \left(\left(10^{-2}\right)^{3^{2^{2}}}\right)^{-1}}{5}$$

Izračunajte potenco 10 števila -2, da dobite \frac{1}{100}.

$$\frac{\frac{1}{100000000000000000000000000000000}\times \left(\left(\frac{1}{100}\right)^{3^{2^{2}}}\right)^{-1}}{5}$$

Izračunajte potenco 2 števila 2, da dobite 4.

$$\frac{\frac{1}{100000000000000000000000000000000}\times \left(\left(\frac{1}{100}\right)^{3^{4}}\right)^{-1}}{5}$$

Izračunajte potenco 3 števila 4, da dobite 81.

$$\frac{\frac{1}{100000000000000000000000000000000}\times \left(\left(\frac{1}{100}\right)^{81}\right)^{-1}}{5}$$

Izračunajte potenco \frac{1}{100} števila 81, da dobite \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{1}{100000000000000000000000000000000}\times \left(\frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\right)^{-1}}{5}$$

Izračunajte potenco \frac{1}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} števila -1, da dobite 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{\frac{1}{100000000000000000000000000000000}\times 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{5}$$

Pomnožite \frac{1}{100000000000000000000000000000000} in 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, da dobite 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{5}$$

Delite 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 s/z 5, da dobite 2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Faktoriziraj

$$2^{130}\times 5^{129}$$