Solve 4pi*(6.4*100^6)^2*1.01*10^5/9.8

$$4 \pi \times ( 6.4 \times 100 ^ { 6 } ) ^ { 2 } \times 1.01 \times 10 ^ { 5 } / 9.8$$

Evaluate

$$\frac{82739200000000000000000000000000\pi }{49}\approx 5.304752304 \cdot 10^{30}$$

Solution Steps

Calculate 100 to the power of 6 and get 1000000000000.

$$\frac{4\pi \times \left(6.4\times 1000000000000\right)^{2}\times 1.01\times 10^{5}}{9.8}$$

Multiply 6.4 and 1000000000000 to get 6400000000000.

$$\frac{4\pi \times 6400000000000^{2}\times 1.01\times 10^{5}}{9.8}$$

Calculate 6400000000000 to the power of 2 and get 40960000000000000000000000.

$$\frac{4\pi \times 40960000000000000000000000\times 1.01\times 10^{5}}{9.8}$$

Multiply 4 and 40960000000000000000000000 to get 163840000000000000000000000.

$$\frac{163840000000000000000000000\pi \times 1.01\times 10^{5}}{9.8}$$

Multiply 163840000000000000000000000 and 1.01 to get 165478400000000000000000000.

$$\frac{165478400000000000000000000\pi \times 10^{5}}{9.8}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{165478400000000000000000000\pi \times 100000}{9.8}$$

Multiply 165478400000000000000000000 and 100000 to get 16547840000000000000000000000000.

$$\frac{16547840000000000000000000000000\pi }{9.8}$$

Divide 16547840000000000000000000000000\pi by 9.8 to get \frac{82739200000000000000000000000000}{49}\pi .

$$\frac{82739200000000000000000000000000}{49}\pi$$

Expand

$$\frac{82739200000000000000000000000000 \pi}{49} = 5.304752303752991 \times 10^{30}\frac{35}{49} = 5.304752303752991 \times 10^{30}$$

Solution Steps

Calculate 100 to the power of 6 and get 1000000000000.

$$\frac{4\pi \times \left(6.4\times 1000000000000\right)^{2}\times 1.01\times 10^{5}}{9.8}$$

Multiply 6.4 and 1000000000000 to get 6400000000000.

$$\frac{4\pi \times 6400000000000^{2}\times 1.01\times 10^{5}}{9.8}$$

Calculate 6400000000000 to the power of 2 and get 40960000000000000000000000.

$$\frac{4\pi \times 40960000000000000000000000\times 1.01\times 10^{5}}{9.8}$$

Multiply 4 and 40960000000000000000000000 to get 163840000000000000000000000.

$$\frac{163840000000000000000000000\pi \times 1.01\times 10^{5}}{9.8}$$

Multiply 163840000000000000000000000 and 1.01 to get 165478400000000000000000000.

$$\frac{165478400000000000000000000\pi \times 10^{5}}{9.8}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{165478400000000000000000000\pi \times 100000}{9.8}$$

Multiply 165478400000000000000000000 and 100000 to get 16547840000000000000000000000000.

$$\frac{16547840000000000000000000000000\pi }{9.8}$$

Divide 16547840000000000000000000000000\pi by 9.8 to get \frac{82739200000000000000000000000000}{49}\pi .

$$\frac{82739200000000000000000000000000}{49}\pi$$