5*10^-9*(-2)*10^-9/left(3*10^-2right)^2 eching

$$\frac{ 5 \times { 10 }^{ -9 } \times (-2) \times { 10 }^{ -9 } }{ { \left(3 \times { 10 }^{ -2 } \right) }^{ 2 } }$$

Baholash

$$-\frac{1}{90000000000000}\approx -1,111111111 \cdot 10^{-14}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -9 va -9 ni qo‘shib, -18 ni oling.

$$\frac{5\times 10^{-18}\left(-2\right)}{\left(3\times 10^{-2}\right)^{2}}$$

-18 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000000000} ni qiymatni oling.

$$\frac{5\times \frac{1}{1000000000000000000}\left(-2\right)}{\left(3\times 10^{-2}\right)^{2}}$$

\frac{1}{200000000000000000} hosil qilish uchun 5 va \frac{1}{1000000000000000000} ni ko'paytirish.

$$\frac{\frac{1}{200000000000000000}\left(-2\right)}{\left(3\times 10^{-2}\right)^{2}}$$

-\frac{1}{100000000000000000} hosil qilish uchun \frac{1}{200000000000000000} va -2 ni ko'paytirish.

$$\frac{-\frac{1}{100000000000000000}}{\left(3\times 10^{-2}\right)^{2}}$$

-2 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100} ni qiymatni oling.

$$\frac{-\frac{1}{100000000000000000}}{\left(3\times \frac{1}{100}\right)^{2}}$$

\frac{3}{100} hosil qilish uchun 3 va \frac{1}{100} ni ko'paytirish.

$$\frac{-\frac{1}{100000000000000000}}{\left(\frac{3}{100}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{3}{100} ga hisoblang va \frac{9}{10000} ni qiymatni oling.

$$\frac{-\frac{1}{100000000000000000}}{\frac{9}{10000}}$$

-\frac{1}{100000000000000000} ni \frac{9}{10000} ga bo'lish -\frac{1}{100000000000000000} ga k'paytirish \frac{9}{10000} ga qaytarish.

$$-\frac{1}{100000000000000000}\times \frac{10000}{9}$$

-\frac{1}{90000000000000} hosil qilish uchun -\frac{1}{100000000000000000} va \frac{10000}{9} ni ko'paytirish.

$$-\frac{1}{90000000000000}$$

Omil

$$-\frac{1}{90000000000000} = -1,111111111111111 \times 10^{-14}$$