4*314*314*196*10^1/667*10^-11*14*3600 eching

$$\frac { 4 \times 314 \times 314 \times 196 \times 10 ^ { 1 } } { 667 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

Baholash

$$\frac{13803440000000000}{6003}\approx 2,299423622 \cdot 10^{12}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2\times 2\times 2\times 2\times 2\times 5\times 7 ni qisqartiring.

$$\frac{2\times 14\times 157\times 157}{45\times 667\times 10^{-11}}$$

28 hosil qilish uchun 2 va 14 ni ko'paytirish.

$$\frac{28\times 157\times 157}{45\times 667\times 10^{-11}}$$

4396 hosil qilish uchun 28 va 157 ni ko'paytirish.

$$\frac{4396\times 157}{45\times 667\times 10^{-11}}$$

690172 hosil qilish uchun 4396 va 157 ni ko'paytirish.

$$\frac{690172}{45\times 667\times 10^{-11}}$$

30015 hosil qilish uchun 45 va 667 ni ko'paytirish.

$$\frac{690172}{30015\times 10^{-11}}$$

-11 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000} ni qiymatni oling.

$$\frac{690172}{30015\times \frac{1}{100000000000}}$$

\frac{6003}{20000000000} hosil qilish uchun 30015 va \frac{1}{100000000000} ni ko'paytirish.

$$\frac{690172}{\frac{6003}{20000000000}}$$

690172 ni \frac{6003}{20000000000} ga bo'lish 690172 ga k'paytirish \frac{6003}{20000000000} ga qaytarish.

$$690172\times \frac{20000000000}{6003}$$

\frac{13803440000000000}{6003} hosil qilish uchun 690172 va \frac{20000000000}{6003} ni ko'paytirish.

$$\frac{13803440000000000}{6003}$$

Omil

$$\frac{2 ^ {13} \cdot 5 ^ {10} \cdot 7 \cdot 157 ^ {2}}{3 ^ {2} \cdot 23 \cdot 29} = 2299423621522\frac{3434}{6003} = 2299423621522,5723$$