Ratkaise 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Laske

$$\frac{2239414914709979136}{767409801483154296875}\approx 0,002918147$$

Ratkaisun vaiheet

Jos haluat kertoa samankantaiset potenssit, lisää niiden eksponentit yhteen. Lisää -34 ja 8 yhteen saadaksesi -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Laske 10 potenssiin -26, jolloin ratkaisuksi tulee \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Kerro 663 ja \frac{1}{100000000000000000000000000}, niin saadaan \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Kerro \frac{663}{100000000000000000000000000} ja 3, niin saadaan \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Laske 16 potenssiin -19, jolloin ratkaisuksi tulee \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Kerro 515 ja \frac{1}{75557863725914323419136}, niin saadaan \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Jaa \frac{1989}{100000000000000000000000000} luvulla \frac{515}{75557863725914323419136} kertomalla \frac{1989}{100000000000000000000000000} luvun \frac{515}{75557863725914323419136} käänteisluvulla.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Kerro \frac{1989}{100000000000000000000000000} ja \frac{75557863725914323419136}{515}, niin saadaan \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Jaa tekijöihin

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0,0029181473971037586$$