Solve pi^2*200*10^9*pi/1.044*10^7/(frac{1{2}*2)^2}

$$\frac { \pi ^ { 2 } \times 200 \times 10 ^ { 9 } \times \frac { \pi } { 1.044 \times 10 ^ { 7 } } } { ( \frac { 1 } { 2 } \times 2 ) ^ { 2 } }$$

Evaluate

$$\frac{5000000\pi ^{3}}{261}\approx 593989.974718387$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{\pi ^{2}\times 200\times 1000000000\times \frac{\pi }{1.044\times 10^{7}}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply 200 and 1000000000 to get 200000000000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{1.044\times 10^{7}}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{1.044\times 10000000}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply 1.044 and 10000000 to get 10440000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{10440000}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Express \pi ^{2}\times \frac{\pi }{10440000} as a single fraction.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply \frac{1}{2} and 2 to get 1.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{1}$$

Anything divided by one gives itself.

$$\frac{\pi ^{2}\pi }{10440000}\times 200000000000$$

Express \frac{\pi ^{2}\pi }{10440000}\times 200000000000 as a single fraction.

$$\frac{\pi ^{2}\pi \times 200000000000}{10440000}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\pi ^{3}\times 200000000000}{10440000}$$

Divide \pi ^{3}\times 200000000000 by 10440000 to get \pi ^{3}\times \frac{5000000}{261}.

$$\pi ^{3}\times \frac{5000000}{261}$$

Expand

$$\frac{5000000 \pi ^ {3}}{261} = 593989.9747183874$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{\pi ^{2}\times 200\times 1000000000\times \frac{\pi }{1.044\times 10^{7}}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply 200 and 1000000000 to get 200000000000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{1.044\times 10^{7}}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{1.044\times 10000000}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply 1.044 and 10000000 to get 10440000.

$$\frac{\pi ^{2}\times 200000000000\times \frac{\pi }{10440000}}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Express \pi ^{2}\times \frac{\pi }{10440000} as a single fraction.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{\left(\frac{1}{2}\times 2\right)^{2}}$$

Multiply \frac{1}{2} and 2 to get 1.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{\frac{\pi ^{2}\pi }{10440000}\times 200000000000}{1}$$

Anything divided by one gives itself.

$$\frac{\pi ^{2}\pi }{10440000}\times 200000000000$$

Express \frac{\pi ^{2}\pi }{10440000}\times 200000000000 as a single fraction.

$$\frac{\pi ^{2}\pi \times 200000000000}{10440000}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\pi ^{3}\times 200000000000}{10440000}$$

Divide \pi ^{3}\times 200000000000 by 10440000 to get \pi ^{3}\times \frac{5000000}{261}.

$$\pi ^{3}\times \frac{5000000}{261}$$