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

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

Laske

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

Ratkaisun vaiheet

Laske 3232 potenssiin 9, jolloin ratkaisuksi tulee 38480629582202242666136319557632.

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

Laske 2 potenssiin 2, jolloin ratkaisuksi tulee 4.

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

Ilmaise 38480629582202242666136319557632\times \frac{4}{9} säännöllisenä murtolukuna.

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

Kerro 38480629582202242666136319557632 ja 4, niin saadaan 153922518328808970664545278230528.

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

Supista murtoluku \frac{2}{4} luvulla 2.

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

Kerro \frac{153922518328808970664545278230528}{9} ja \frac{1}{2} kertomalla osoittajat keskenään ja nimittäjät keskenään.

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

Suorita kertolaskut murtoluvussa \frac{153922518328808970664545278230528\times 1}{9\times 2}.

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

Supista murtoluku \frac{153922518328808970664545278230528}{18} luvulla 2.

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

Laske 100 potenssiin 11, jolloin ratkaisuksi tulee 10000000000000000000000.

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

Supista murtoluku \frac{10000000000000000000000}{990} luvulla 10.

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

Kerro \frac{76961259164404485332272639115264}{9} ja \frac{1000000000000000000000}{99} kertomalla osoittajat keskenään ja nimittäjät keskenään.

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

Suorita kertolaskut murtoluvussa \frac{76961259164404485332272639115264\times 1000000000000000000000}{9\times 99}.

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

Ilmaise \frac{76961259164404485332272639115264000000000000000000000}{891}\times 900000 säännöllisenä murtolukuna.

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

Kerro 76961259164404485332272639115264000000000000000000000 ja 900000, niin saadaan 69265133247964036799045375203737600000000000000000000000000.

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

Supista murtoluku \frac{69265133247964036799045375203737600000000000000000000000000}{891} luvulla 9.

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