3232^9*2^2/9*2/4*100^11/990*(pi*900000)= eching

$$3232 ^ { 9 } \cdot \frac { 2 ^ { 2 } } { 9 } \cdot \frac { 2 } { 4 } \times \frac { 100 ^ { 11 } } { 990 } \cdot ( \pi \cdot 900000 ) =$$

Baholash

$$\frac{7696125916440448533227263911526400000000000000000000000000\pi }{99}\approx 2,44223158 \cdot 10^{56}$$

Yechim qadamlari

9 daraja ko‘rsatkichini 3232 ga hisoblang va 38480629582202242666136319557632 ni qiymatni oling.

$$38480629582202242666136319557632\times \frac{2^{2}}{9}\times \frac{2}{4}\times \frac{100^{11}}{990}\pi \times 900000$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$38480629582202242666136319557632\times \frac{4}{9}\times \frac{2}{4}\times \frac{100^{11}}{990}\pi \times 900000$$

38480629582202242666136319557632\times \frac{4}{9} ni yagona kasrga aylantiring.

$$\frac{38480629582202242666136319557632\times 4}{9}\times \frac{2}{4}\times \frac{100^{11}}{990}\pi \times 900000$$

153922518328808970664545278230528 hosil qilish uchun 38480629582202242666136319557632 va 4 ni ko'paytirish.

$$\frac{153922518328808970664545278230528}{9}\times \frac{2}{4}\times \frac{100^{11}}{990}\pi \times 900000$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{153922518328808970664545278230528}{9}\times \frac{1}{2}\times \frac{100^{11}}{990}\pi \times 900000$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{153922518328808970664545278230528}{9} ni \frac{1}{2} ga ko‘paytiring.

$$\frac{153922518328808970664545278230528\times 1}{9\times 2}\times \frac{100^{11}}{990}\pi \times 900000$$

\frac{153922518328808970664545278230528\times 1}{9\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{153922518328808970664545278230528}{18}\times \frac{100^{11}}{990}\pi \times 900000$$

\frac{153922518328808970664545278230528}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{76961259164404485332272639115264}{9}\times \frac{100^{11}}{990}\pi \times 900000$$

11 daraja ko‘rsatkichini 100 ga hisoblang va 10000000000000000000000 ni qiymatni oling.

$$\frac{76961259164404485332272639115264}{9}\times \frac{10000000000000000000000}{990}\pi \times 900000$$

\frac{10000000000000000000000}{990} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{76961259164404485332272639115264}{9}\times \frac{1000000000000000000000}{99}\pi \times 900000$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{76961259164404485332272639115264}{9} ni \frac{1000000000000000000000}{99} ga ko‘paytiring.

$$\frac{76961259164404485332272639115264\times 1000000000000000000000}{9\times 99}\pi \times 900000$$

\frac{76961259164404485332272639115264\times 1000000000000000000000}{9\times 99} kasridagi ko‘paytirishlarni bajaring.

$$\frac{76961259164404485332272639115264000000000000000000000}{891}\pi \times 900000$$

\frac{76961259164404485332272639115264000000000000000000000}{891}\times 900000 ni yagona kasrga aylantiring.

$$\frac{76961259164404485332272639115264000000000000000000000\times 900000}{891}\pi$$

69265133247964036799045375203737600000000000000000000000000 hosil qilish uchun 76961259164404485332272639115264000000000000000000000 va 900000 ni ko'paytirish.

$$\frac{69265133247964036799045375203737600000000000000000000000000}{891}\pi$$

\frac{69265133247964036799045375203737600000000000000000000000000}{891} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7696125916440448533227263911526400000000000000000000000000}{99}\pi$$