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

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

Evaluer

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

Løsningstrinn

For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 24 og 11 for å få 35.

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

For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 35 og 11 for å få 46.

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

Regn ut 10 opphøyd i 22 og få 10000000000000000000000.

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

Multipliser 347 med 10000000000000000000000 for å få 3470000000000000000000000.

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

Regn ut 10 opphøyd i -11 og få \frac{1}{100000000000}.

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

Multipliser \frac{3470000000000000000000000}{667} med \frac{1}{100000000000} for å få \frac{34700000000000}{667}.

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

Uttrykk \frac{\frac{34700000000000}{667}}{6} som en enkelt brøk.

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

Multipliser 667 med 6 for å få 4002.

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

Forkort brøken \frac{34700000000000}{4002} til minste felles nevner ved å dele teller og nevner på 2.

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

Regn ut 10 opphøyd i 46 og få 10000000000000000000000000000000000000000000000.

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

Multipliser \frac{17350000000000}{2001} med 10000000000000000000000000000000000000000000000 for å få \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

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

Multipliser \frac{173500000000000000000000000000000000000000000000000000000000}{2001} med 15 for å få \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

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

Multipliser \frac{867500000000000000000000000000000000000000000000000000000000}{667} med 15 for å få \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

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

Faktoriser

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