Riješi (10^-32)^2/2*10^-5

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

Procijeni

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

Koraci za rješenje

Da biste podigli stepen na neki drugi stepen, pomnožite eksponente. Pomnožite -32 i 2 da biste dobili -64.

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

Da biste podijelili stepene iste osnove, oduzmite eksponent brojioca od eksponenta imenioca.

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

Izračunajte 10 stepen od 59 i dobijte 100000000000000000000000000000000000000000000000000000000000.

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

Pomnožite 2 i 100000000000000000000000000000000000000000000000000000000000 da biste dobili 200000000000000000000000000000000000000000000000000000000000.

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

Faktor

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