Решете 4pi*(64*100^6)^2*101*10^5/98

$$4 \pi \times ( 64 \times 100 ^ { 6 } ) ^ { 2 } \times 101 \times 10 ^ { 5 } / 98$$

Изчисляване

$$\frac{82739200000000000000000000000000000\pi }{49}\approx 5,304752304 \cdot 10^{33}$$

Стъпки на решението

Изчислявате 6 на степен 100 и получавате 1000000000000.

$$\frac{4\pi \times \left(64\times 1000000000000\right)^{2}\times 101\times 10^{5}}{98}$$

Умножете 64 по 1000000000000, за да получите 64000000000000.

$$\frac{4\pi \times 64000000000000^{2}\times 101\times 10^{5}}{98}$$

Изчислявате 2 на степен 64000000000000 и получавате 4096000000000000000000000000.

$$\frac{4\pi \times 4096000000000000000000000000\times 101\times 10^{5}}{98}$$

Умножете 4 по 4096000000000000000000000000, за да получите 16384000000000000000000000000.

$$\frac{16384000000000000000000000000\pi \times 101\times 10^{5}}{98}$$

Умножете 16384000000000000000000000000 по 101, за да получите 1654784000000000000000000000000.

$$\frac{1654784000000000000000000000000\pi \times 10^{5}}{98}$$

Изчислявате 5 на степен 10 и получавате 100000.

$$\frac{1654784000000000000000000000000\pi \times 100000}{98}$$

Умножете 1654784000000000000000000000000 по 100000, за да получите 165478400000000000000000000000000000.

$$\frac{165478400000000000000000000000000000\pi }{98}$$

Разделете 165478400000000000000000000000000000\pi на 98, за да получите \frac{82739200000000000000000000000000000}{49}\pi .

$$\frac{82739200000000000000000000000000000}{49}\pi$$

Разлагане

$$\frac{82739200000000000000000000000000000 \pi}{49} = 5,304752303752992 \times 10^{33}\frac{41}{49} = 5,304752303752992 \times 10^{33}$$

Стъпки на решението

Изчислявате 6 на степен 100 и получавате 1000000000000.

$$\frac{4\pi \times \left(64\times 1000000000000\right)^{2}\times 101\times 10^{5}}{98}$$

Умножете 64 по 1000000000000, за да получите 64000000000000.

$$\frac{4\pi \times 64000000000000^{2}\times 101\times 10^{5}}{98}$$

Изчислявате 2 на степен 64000000000000 и получавате 4096000000000000000000000000.

$$\frac{4\pi \times 4096000000000000000000000000\times 101\times 10^{5}}{98}$$

Умножете 4 по 4096000000000000000000000000, за да получите 16384000000000000000000000000.

$$\frac{16384000000000000000000000000\pi \times 101\times 10^{5}}{98}$$

Умножете 16384000000000000000000000000 по 101, за да получите 1654784000000000000000000000000.

$$\frac{1654784000000000000000000000000\pi \times 10^{5}}{98}$$

Изчислявате 5 на степен 10 и получавате 100000.

$$\frac{1654784000000000000000000000000\pi \times 100000}{98}$$

Умножете 1654784000000000000000000000000 по 100000, за да получите 165478400000000000000000000000000000.

$$\frac{165478400000000000000000000000000000\pi }{98}$$

Разделете 165478400000000000000000000000000000\pi на 98, за да получите \frac{82739200000000000000000000000000000}{49}\pi .

$$\frac{82739200000000000000000000000000000}{49}\pi$$