frac{(9*10^{9})*(45*10^-6)*(5*10^-6)}{(15*10^-2)^2} eching

$$\frac { ( 9 \times 10 ^ { 9 } ) \times ( 45 \times 10 ^ { - 6 } ) \times ( 5 \times 10 ^ { - 6 } ) } { ( 15 \times 10 ^ { - 2 } ) ^ { 2 } }$$

Baholash

$$90$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va -6 ni qo‘shib, 3 ni oling.

$$\frac{9\times 10^{3}\times 45\times 5\times 10^{-6}}{\left(15\times 10^{-2}\right)^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va -6 ni qo‘shib, -3 ni oling.

$$\frac{9\times 10^{-3}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

-3 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000} ni qiymatni oling.

$$\frac{9\times \frac{1}{1000}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

\frac{9}{1000} hosil qilish uchun 9 va \frac{1}{1000} ni ko'paytirish.

$$\frac{\frac{9}{1000}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

\frac{81}{200} hosil qilish uchun \frac{9}{1000} va 45 ni ko'paytirish.

$$\frac{\frac{81}{200}\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

\frac{81}{40} hosil qilish uchun \frac{81}{200} va 5 ni ko'paytirish.

$$\frac{\frac{81}{40}}{\left(15\times 10^{-2}\right)^{2}}$$

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

$$\frac{\frac{81}{40}}{\left(15\times \frac{1}{100}\right)^{2}}$$

\frac{3}{20} hosil qilish uchun 15 va \frac{1}{100} ni ko'paytirish.

$$\frac{\frac{81}{40}}{\left(\frac{3}{20}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{3}{20} ga hisoblang va \frac{9}{400} ni qiymatni oling.

$$\frac{\frac{81}{40}}{\frac{9}{400}}$$

\frac{81}{40} ni \frac{9}{400} ga bo'lish \frac{81}{40} ga k'paytirish \frac{9}{400} ga qaytarish.

$$\frac{81}{40}\times \frac{400}{9}$$

90 hosil qilish uchun \frac{81}{40} va \frac{400}{9} ni ko'paytirish.

$$90$$

Omil

$$2\times 3^{2}\times 5$$