Solve pi^2*21*10^4*2010*10^4/6000^2

$$\frac { \pi ^ { 2 } \times 21 \times 10 ^ { 4 } \times 2010 \times 10 ^ { 4 } } { 6000 ^ { 2 } }$$

Evaluate

$$117250\pi ^{2}\approx 1157211.116027727$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$\frac{\pi ^{2}\times 21\times 10^{8}\times 2010}{6000^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\pi ^{2}\times 21\times 100000000\times 2010}{6000^{2}}$$

Multiply 21 and 100000000 to get 2100000000.

$$\frac{\pi ^{2}\times 2100000000\times 2010}{6000^{2}}$$

Multiply 2100000000 and 2010 to get 4221000000000.

$$\frac{\pi ^{2}\times 4221000000000}{6000^{2}}$$

Calculate 6000 to the power of 2 and get 36000000.

$$\frac{\pi ^{2}\times 4221000000000}{36000000}$$

Divide \pi ^{2}\times 4221000000000 by 36000000 to get \pi ^{2}\times 117250.

$$\pi ^{2}\times 117250$$