Solve 5*972*10^24/frac{4{3}pileft(6*10right)^3}

$$\frac{ 5 \cdot 972 \times { 10 }^{ 24 } }{ \frac{ 4 }{ 3 } \pi { \left(6 \times 10 \right) }^{ 3 } }$$

Evaluate

$$\frac{16875000000000000000000}{\pi }\approx 5.371479329 \cdot 10^{21}$$

Solution Steps

Multiply 5 and 972 to get 4860.

$$\frac{4860\times 10^{24}}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{4860\times 1000000000000000000000000}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Multiply 4860 and 1000000000000000000000000 to get 4860000000000000000000000000.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Multiply 6 and 10 to get 60.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times 60^{3}}$$

Calculate 60 to the power of 3 and get 216000.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times 216000}$$

Multiply \frac{4}{3} and 216000 to get 288000.

$$\frac{4860000000000000000000000000}{288000\pi }$$

Expand

$$\frac{16875000000000000000000}{\pi} = 5.371479329351468 \times 10^{21}$$

Solution Steps

Multiply 5 and 972 to get 4860.

$$\frac{4860\times 10^{24}}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{4860\times 1000000000000000000000000}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Multiply 4860 and 1000000000000000000000000 to get 4860000000000000000000000000.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times \left(6\times 10\right)^{3}}$$

Multiply 6 and 10 to get 60.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times 60^{3}}$$

Calculate 60 to the power of 3 and get 216000.

$$\frac{4860000000000000000000000000}{\frac{4}{3}\pi \times 216000}$$

Multiply \frac{4}{3} and 216000 to get 288000.

$$\frac{4860000000000000000000000000}{288000\pi }$$