Ratkaise 145/63*10^-18*10^18

$$\frac{ 145 }{ 63 \times { 10 }^{ -18 } } \times { 10 }^{ 18 }$$

Laske

$$\frac{145000000000000000000000000000000000000}{63}\approx 2,301587302 \cdot 10^{36}$$

Ratkaisun vaiheet

Laske 10 potenssiin -18, jolloin ratkaisuksi tulee \frac{1}{1000000000000000000}.

$$\frac{145}{63\times \frac{1}{1000000000000000000}}\times 10^{18}$$

Kerro 63 ja \frac{1}{1000000000000000000}, niin saadaan \frac{63}{1000000000000000000}.

$$\frac{145}{\frac{63}{1000000000000000000}}\times 10^{18}$$

Jaa 145 luvulla \frac{63}{1000000000000000000} kertomalla 145 luvun \frac{63}{1000000000000000000} käänteisluvulla.

$$145\times \frac{1000000000000000000}{63}\times 10^{18}$$

Kerro 145 ja \frac{1000000000000000000}{63}, niin saadaan \frac{145000000000000000000}{63}.

$$\frac{145000000000000000000}{63}\times 10^{18}$$

Laske 10 potenssiin 18, jolloin ratkaisuksi tulee 1000000000000000000.

$$\frac{145000000000000000000}{63}\times 1000000000000000000$$

Kerro \frac{145000000000000000000}{63} ja 1000000000000000000, niin saadaan \frac{145000000000000000000000000000000000000}{63}.

$$\frac{145000000000000000000000000000000000000}{63}$$

Jaa tekijöihin

$$\frac{2 ^ {36} \cdot 5 ^ {37} \cdot 29}{3 ^ {2} \cdot 7} = 2,301587301587301 \times 10^{36}\frac{1}{63} = 2,301587301587301 \times 10^{36}$$