sqrt{1/64*pi*(10*10^-3)^4/(25*10^-3)^2*pi} eching

$$\sqrt { \frac { \frac { 1 } { 64 } \times \pi \times ( 10 \times 10 ^ { - 3 } ) ^ { 4 } } { ( 25 \times 10 ^ { - 3 } ) ^ { 2 } \cdot \pi } }$$

Baholash

$$\frac{1}{2000}=0,0005$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -3 ni qo‘shib, -2 ni oling.

$$\sqrt{\frac{\frac{1}{64}\pi \times \left(10^{-2}\right)^{4}}{\left(25\times 10^{-3}\right)^{2}\pi }}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va 4 ni ko‘paytirib, -8 ni oling.

$$\sqrt{\frac{\frac{1}{64}\pi \times 10^{-8}}{\left(25\times 10^{-3}\right)^{2}\pi }}$$

Surat va maxrajdagi ikkala \pi ni qisqartiring.

$$\sqrt{\frac{\frac{1}{64}\times 10^{-8}}{\left(25\times 10^{-3}\right)^{2}}}$$

-8 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000} ni qiymatni oling.

$$\sqrt{\frac{\frac{1}{64}\times \frac{1}{100000000}}{\left(25\times 10^{-3}\right)^{2}}}$$

\frac{1}{6400000000} hosil qilish uchun \frac{1}{64} va \frac{1}{100000000} ni ko'paytirish.

$$\sqrt{\frac{\frac{1}{6400000000}}{\left(25\times 10^{-3}\right)^{2}}}$$

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

$$\sqrt{\frac{\frac{1}{6400000000}}{\left(25\times \frac{1}{1000}\right)^{2}}}$$

\frac{1}{40} hosil qilish uchun 25 va \frac{1}{1000} ni ko'paytirish.

$$\sqrt{\frac{\frac{1}{6400000000}}{\left(\frac{1}{40}\right)^{2}}}$$

2 daraja ko‘rsatkichini \frac{1}{40} ga hisoblang va \frac{1}{1600} ni qiymatni oling.

$$\sqrt{\frac{\frac{1}{6400000000}}{\frac{1}{1600}}}$$

\frac{1}{6400000000} ni \frac{1}{1600} ga bo'lish \frac{1}{6400000000} ga k'paytirish \frac{1}{1600} ga qaytarish.

$$\sqrt{\frac{1}{6400000000}\times 1600}$$

\frac{1}{4000000} hosil qilish uchun \frac{1}{6400000000} va 1600 ni ko'paytirish.

$$\sqrt{\frac{1}{4000000}}$$

\frac{1}{4000000} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{4000000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{2000}$$

Omil

$$\frac{1}{2 ^ {4} \cdot 5 ^ {3}} = 0,0005$$