Riješi G6674*10^-1170^273510^22/173^2

$$G6674 \times { 10 }^{ -11 } \frac{ { 70 }^{ 2 } 735 { 10 }^{ 22 } }{ { 173 }^{ 2 } }$$

Procijeni

$$\frac{360150000000000000G_{6674}}{29929}$$

Koraci za rješenje

Izračunajte 10 stepen od -11 i dobijte \frac{1}{100000000000}.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{70^{2}\times 735\times 10^{22}}{173^{2}}$$

Izračunajte 70 stepen od 2 i dobijte 4900.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{4900\times 735\times 10^{22}}{173^{2}}$$

Pomnožite 4900 i 735 da biste dobili 3601500.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{3601500\times 10^{22}}{173^{2}}$$

Izračunajte 10 stepen od 22 i dobijte 10000000000000000000000.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{3601500\times 10000000000000000000000}{173^{2}}$$

Pomnožite 3601500 i 10000000000000000000000 da biste dobili 36015000000000000000000000000.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{36015000000000000000000000000}{173^{2}}$$

Izračunajte 173 stepen od 2 i dobijte 29929.

$$G_{6674}\times \frac{1}{100000000000}\times \frac{36015000000000000000000000000}{29929}$$

Pomnožite \frac{1}{100000000000} i \frac{36015000000000000000000000000}{29929} da biste dobili \frac{360150000000000000}{29929}.

$$G_{6674}\times \frac{360150000000000000}{29929}$$

Razlikovanje u pogledu G_6674

$$\frac{360150000000000000}{29929} = 12033479234187\frac{17277}{29929} = 12033479234187,578$$

Koraci pomoću definicije izvedenog broja

Izračunajte 10 stepen od -11 i dobijte \frac{1}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{70^{2}\times 735\times 10^{22}}{173^{2}})$$

Izračunajte 70 stepen od 2 i dobijte 4900.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{4900\times 735\times 10^{22}}{173^{2}})$$

Pomnožite 4900 i 735 da biste dobili 3601500.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{3601500\times 10^{22}}{173^{2}})$$

Izračunajte 10 stepen od 22 i dobijte 10000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{3601500\times 10000000000000000000000}{173^{2}})$$

Pomnožite 3601500 i 10000000000000000000000 da biste dobili 36015000000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{36015000000000000000000000000}{173^{2}})$$

Izračunajte 173 stepen od 2 i dobijte 29929.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{1}{100000000000}\times \frac{36015000000000000000000000000}{29929})$$

Pomnožite \frac{1}{100000000000} i \frac{36015000000000000000000000000}{29929} da biste dobili \frac{360150000000000000}{29929}.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6674}}(G_{6674}\times \frac{360150000000000000}{29929})$$

Izvedena vrijednost broja ax^{n} je nax^{n-1}.

$$\frac{360150000000000000}{29929}G_{6674}^{1-1}$$

Oduzmite 1 od 1.

$$\frac{360150000000000000}{29929}G_{6674}^{0}$$

Za bilo koji izraz t izuzev 0, t^{0}=1.

$$\frac{360150000000000000}{29929}\times 1$$

Za bilo koji izraz t, t\times 1=t i 1t=t.

$$\frac{360150000000000000}{29929}$$