138*10^-23*2715/sqrt{2*pi*(35*10^-10)^2*101*10^5}= eching

$$\frac { 138 \times 10 ^ { - 23 } \times 2715 } { \sqrt { 2 } \times \pi \times ( 35 \times 10 ^ { - 10 } ) ^ { 2 } \times 101 \times 10 ^ { 5 } } =$$

Baholash

$$\frac{37467\sqrt{2}}{2474500000000\pi }\approx 6,815953004 \cdot 10^{-9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{138\times 2715}{101\pi \sqrt{2}\times 10^{28}\times \left(35\times 10^{-10}\right)^{2}}$$

374670 hosil qilish uchun 138 va 2715 ni ko'paytirish.

$$\frac{374670}{101\pi \sqrt{2}\times 10^{28}\times \left(35\times 10^{-10}\right)^{2}}$$

28 daraja ko‘rsatkichini 10 ga hisoblang va 10000000000000000000000000000 ni qiymatni oling.

$$\frac{374670}{101\pi \sqrt{2}\times 10000000000000000000000000000\times \left(35\times 10^{-10}\right)^{2}}$$

1010000000000000000000000000000 hosil qilish uchun 101 va 10000000000000000000000000000 ni ko'paytirish.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(35\times 10^{-10}\right)^{2}}$$

-10 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000000000} ni qiymatni oling.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(35\times \frac{1}{10000000000}\right)^{2}}$$

\frac{7}{2000000000} hosil qilish uchun 35 va \frac{1}{10000000000} ni ko'paytirish.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(\frac{7}{2000000000}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{7}{2000000000} ga hisoblang va \frac{49}{4000000000000000000} ni qiymatni oling.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \frac{49}{4000000000000000000}}$$

12372500000000 hosil qilish uchun 1010000000000000000000000000000 va \frac{49}{4000000000000000000} ni ko'paytirish.

$$\frac{374670}{12372500000000\pi \sqrt{2}}$$

\frac{374670}{12372500000000\pi \sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{374670\sqrt{2}}{12372500000000\pi \left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$\frac{374670\sqrt{2}}{12372500000000\pi \times 2}$$

Surat va maxrajdagi ikkala 10 ni qisqartiring.

$$\frac{37467\sqrt{2}}{2\times 1237250000000\pi }$$

2474500000000 hosil qilish uchun 2 va 1237250000000 ni ko'paytirish.

$$\frac{37467\sqrt{2}}{2474500000000\pi }$$