Rešite (10^-32)^2/2*10^-5

$$\frac { ( 10 ^ { - 32 } ) ^ { 2 } } { 2 \times 10 ^ { - 5 } }$$

Ovrednoti

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}=5 \cdot 10^{-60}$$

Koraki rešitve

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite -32 in 2, da dobite -64.

$$\frac{10^{-64}}{2\times 10^{-5}}$$

Če želite deliti potence enake osnove, odštejte eksponent števca od eksponenta imenovalca.

$$\frac{1}{2\times 10^{59}}$$

Izračunajte potenco 10 števila 59, da dobite 100000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{2\times 100000000000000000000000000000000000000000000000000000000000}$$

Pomnožite 2 in 100000000000000000000000000000000000000000000000000000000000, da dobite 200000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}$$

Faktoriziraj

$$\frac{1}{2 ^ {60} \cdot 5 ^ {59}} = 5 \times 10^{-60}$$