Solve pi^2*21*10^4*12*10^6/6000^2

$$\frac { \pi ^ { 2 } \times 21 \times 10 ^ { 4 } \times 12 \times 10 ^ { 6 } } { 6000 ^ { 2 } }$$

Evaluate

$$70000\pi ^{2}\approx 690872.308076255$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$\frac{\pi ^{2}\times 21\times 10^{10}\times 12}{6000^{2}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{\pi ^{2}\times 21\times 10000000000\times 12}{6000^{2}}$$

Multiply 21 and 10000000000 to get 210000000000.

$$\frac{\pi ^{2}\times 210000000000\times 12}{6000^{2}}$$

Multiply 210000000000 and 12 to get 2520000000000.

$$\frac{\pi ^{2}\times 2520000000000}{6000^{2}}$$

Calculate 6000 to the power of 2 and get 36000000.

$$\frac{\pi ^{2}\times 2520000000000}{36000000}$$

Divide \pi ^{2}\times 2520000000000 by 36000000 to get \pi ^{2}\times 70000.

$$\pi ^{2}\times 70000$$