Ratkaise 663*10^-34*3*10^8/300*10^-9

$$663 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Laske

$$\frac{663}{10000000000000000000}=6,63 \cdot 10^{-17}$$

Ratkaisun vaiheet

Laske 10 potenssiin -34, jolloin ratkaisuksi tulee \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Kerro 663 ja \frac{1}{10000000000000000000000000000000000}, niin saadaan \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Kerro \frac{663}{10000000000000000000000000000000000} ja 3, niin saadaan \frac{1989}{10000000000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

Jos haluat jakaa samankantaiset potenssit, vähennä nimittäjän eksponentti osoittajan eksponentista.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Laske 10 potenssiin 17, jolloin ratkaisuksi tulee 100000000000000000.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Supista murtoluku \frac{100000000000000000}{300} luvulla 100.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Kerro \frac{1989}{10000000000000000000000000000000000} ja \frac{1000000000000000}{3}, niin saadaan \frac{663}{10000000000000000000}.

$$\frac{663}{10000000000000000000}$$

Jaa tekijöihin

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {19} \cdot 5 ^ {19}} = 6,63 \times 10^{-17}$$