89910^86410^-129610^-16/{left(8210^-4right)^2} eching

$$\frac{ 899 { 10 }^{ 8 } 64 { 10 }^{ -12 } 96 { 10 }^{ -16 } }{ { \left(82 { 10 }^{ -4 } \right) }^{ 2 } }$$

Baholash

$$\frac{2697}{3283203125000}\approx 8,214538965 \cdot 10^{-10}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va -12 ni qo‘shib, -4 ni oling.

$$\frac{899\times 10^{-4}\times 64\times 96\times 10^{-16}}{\left(82\times 10^{-4}\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -4 va -16 ni qo‘shib, -20 ni oling.

$$\frac{899\times 10^{-20}\times 64\times 96}{\left(82\times 10^{-4}\right)^{2}}$$

-20 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000000000000} ni qiymatni oling.

$$\frac{899\times \frac{1}{100000000000000000000}\times 64\times 96}{\left(82\times 10^{-4}\right)^{2}}$$

\frac{899}{100000000000000000000} hosil qilish uchun 899 va \frac{1}{100000000000000000000} ni ko'paytirish.

$$\frac{\frac{899}{100000000000000000000}\times 64\times 96}{\left(82\times 10^{-4}\right)^{2}}$$

\frac{899}{1562500000000000000} hosil qilish uchun \frac{899}{100000000000000000000} va 64 ni ko'paytirish.

$$\frac{\frac{899}{1562500000000000000}\times 96}{\left(82\times 10^{-4}\right)^{2}}$$

\frac{2697}{48828125000000000} hosil qilish uchun \frac{899}{1562500000000000000} va 96 ni ko'paytirish.

$$\frac{\frac{2697}{48828125000000000}}{\left(82\times 10^{-4}\right)^{2}}$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$\frac{\frac{2697}{48828125000000000}}{\left(82\times \frac{1}{10000}\right)^{2}}$$

\frac{41}{5000} hosil qilish uchun 82 va \frac{1}{10000} ni ko'paytirish.

$$\frac{\frac{2697}{48828125000000000}}{\left(\frac{41}{5000}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{41}{5000} ga hisoblang va \frac{1681}{25000000} ni qiymatni oling.

$$\frac{\frac{2697}{48828125000000000}}{\frac{1681}{25000000}}$$

\frac{2697}{48828125000000000} ni \frac{1681}{25000000} ga bo'lish \frac{2697}{48828125000000000} ga k'paytirish \frac{1681}{25000000} ga qaytarish.

$$\frac{2697}{48828125000000000}\times \frac{25000000}{1681}$$

\frac{2697}{3283203125000} hosil qilish uchun \frac{2697}{48828125000000000} va \frac{25000000}{1681} ni ko'paytirish.

$$\frac{2697}{3283203125000}$$

Omil

$$\frac{3 \cdot 29 \cdot 31}{2 ^ {3} \cdot 5 ^ {12} \cdot 41 ^ {2}} = 8,214538964901845 \times 10^{-10}$$