Ratkaise 347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

Laske

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

Ratkaisun vaiheet

Jos haluat kertoa samankantaiset potenssit, lisää niiden eksponentit yhteen. Lisää 24 ja 11 yhteen saadaksesi 35.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

Jos haluat kertoa samankantaiset potenssit, lisää niiden eksponentit yhteen. Lisää 35 ja 11 yhteen saadaksesi 46.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Laske 10 potenssiin 22, jolloin ratkaisuksi tulee 10000000000000000000000.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Kerro 347 ja 10000000000000000000000, niin saadaan 3470000000000000000000000.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Laske 10 potenssiin -11, jolloin ratkaisuksi tulee \frac{1}{100000000000}.

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

Kerro \frac{3470000000000000000000000}{667} ja \frac{1}{100000000000}, niin saadaan \frac{34700000000000}{667}.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

Ilmaise \frac{\frac{34700000000000}{667}}{6} säännöllisenä murtolukuna.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

Kerro 667 ja 6, niin saadaan 4002.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

Supista murtoluku \frac{34700000000000}{4002} luvulla 2.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

Laske 10 potenssiin 46, jolloin ratkaisuksi tulee 10000000000000000000000000000000000000000000000.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

Kerro \frac{17350000000000}{2001} ja 10000000000000000000000000000000000000000000000, niin saadaan \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

Kerro \frac{173500000000000000000000000000000000000000000000000000000000}{2001} ja 15, niin saadaan \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

Kerro \frac{867500000000000000000000000000000000000000000000000000000000}{667} ja 15, niin saadaan \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

Jaa tekijöihin

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$