Solve 1000*4pi*2.25*10^22/4*10^26*0.6*0.15

$$\frac { 1000 \times 4 \pi \times 2.25 \times 10 ^ { 22 } } { 4 \times 10 ^ { 26 } \times 0.6 \times 0.15 }$$

Evaluate

$$\frac{5\pi }{2}\approx 7.853981634$$

Solution Steps

Cancel out 4\times 10^{22} in both numerator and denominator.

$$\frac{2.25\times 4\times 250\pi }{0.15\times 0.6\times 10^{4}}$$

Multiply 2.25 and 4 to get 9.

$$\frac{9\times 250\pi }{0.15\times 0.6\times 10^{4}}$$

Multiply 9 and 250 to get 2250.

$$\frac{2250\pi }{0.15\times 0.6\times 10^{4}}$$

Multiply 0.15 and 0.6 to get 0.09.

$$\frac{2250\pi }{0.09\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{2250\pi }{0.09\times 10000}$$

Multiply 0.09 and 10000 to get 900.

$$\frac{2250\pi }{900}$$

Divide 2250\pi by 900 to get \frac{5}{2}\pi .

$$\frac{5}{2}\pi$$