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

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

Ovrednoti

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

Koraki rešitve

Izračunajte potenco 3232 števila 9, da dobite 38480629582202242666136319557632.

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

Izračunajte potenco 2 števila 2, da dobite 4.

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

Izrazite 38480629582202242666136319557632\times \frac{4}{9} kot enojni ulomek.

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

Pomnožite 38480629582202242666136319557632 in 4, da dobite 153922518328808970664545278230528.

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

Zmanjšajte ulomek \frac{2}{4} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

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

Pomnožite \frac{153922518328808970664545278230528}{9} s/z \frac{1}{2} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \frac{153922518328808970664545278230528\times 1}{9\times 2}.

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

Zmanjšajte ulomek \frac{153922518328808970664545278230528}{18} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

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

Izračunajte potenco 100 števila 11, da dobite 10000000000000000000000.

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

Zmanjšajte ulomek \frac{10000000000000000000000}{990} na najmanjši imenovalec tako, da izpeljete in okrajšate 10.

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

Pomnožite \frac{76961259164404485332272639115264}{9} s/z \frac{1000000000000000000000}{99} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \frac{76961259164404485332272639115264\times 1000000000000000000000}{9\times 99}.

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

Izrazite \frac{76961259164404485332272639115264000000000000000000000}{891}\times 900000 kot enojni ulomek.

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

Pomnožite 76961259164404485332272639115264000000000000000000000 in 900000, da dobite 69265133247964036799045375203737600000000000000000000000000.

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

Zmanjšajte ulomek \frac{69265133247964036799045375203737600000000000000000000000000}{891} na najmanjši imenovalec tako, da izpeljete in okrajšate 9.

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