Solve 3pi*25/6.67*10^-11*left(1.4*3600right)^2*4.7

$$\frac{ 3 \pi \times 25 }{ 6.67 \times { 10 }^{ -11 } \times { \left(1.4 \cdot 3600 \right) }^{ 2 } \times 4.7 }$$

Evaluate

$$\frac{390625000000\pi }{41474727}\approx 29588.733165345$$

Solution Steps

Multiply 3 and 25 to get 75.

$$\frac{75\pi }{6.67\times 10^{-11}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{75\pi }{6.67\times \frac{1}{100000000000}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{75\pi }{\frac{667}{10000000000000}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Multiply 1.4 and 3600 to get 5040.

$$\frac{75\pi }{\frac{667}{10000000000000}\times 5040^{2}\times 4.7}$$

Calculate 5040 to the power of 2 and get 25401600.

$$\frac{75\pi }{\frac{667}{10000000000000}\times 25401600\times 4.7}$$

Multiply \frac{667}{10000000000000} and 25401600 to get \frac{2647323}{1562500000}.

$$\frac{75\pi }{\frac{2647323}{1562500000}\times 4.7}$$

Multiply \frac{2647323}{1562500000} and 4.7 to get \frac{124424181}{15625000000}.

$$\frac{75\pi }{\frac{124424181}{15625000000}}$$

Divide 75\pi by \frac{124424181}{15625000000} by multiplying 75\pi by the reciprocal of \frac{124424181}{15625000000}.

$$\frac{75\pi \times 15625000000}{124424181}$$

Multiply 75 and 15625000000 to get 1171875000000.

$$\frac{1171875000000\pi }{124424181}$$

Divide 1171875000000\pi by 124424181 to get \frac{390625000000}{41474727}\pi .

$$\frac{390625000000}{41474727}\pi$$

Expand

$$\frac{390625000000 \pi}{41474727} = 29588.733165344594$$

Solution Steps

Multiply 3 and 25 to get 75.

$$\frac{75\pi }{6.67\times 10^{-11}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{75\pi }{6.67\times \frac{1}{100000000000}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{75\pi }{\frac{667}{10000000000000}\times \left(1.4\times 3600\right)^{2}\times 4.7}$$

Multiply 1.4 and 3600 to get 5040.

$$\frac{75\pi }{\frac{667}{10000000000000}\times 5040^{2}\times 4.7}$$

Calculate 5040 to the power of 2 and get 25401600.

$$\frac{75\pi }{\frac{667}{10000000000000}\times 25401600\times 4.7}$$

Multiply \frac{667}{10000000000000} and 25401600 to get \frac{2647323}{1562500000}.

$$\frac{75\pi }{\frac{2647323}{1562500000}\times 4.7}$$

Multiply \frac{2647323}{1562500000} and 4.7 to get \frac{124424181}{15625000000}.

$$\frac{75\pi }{\frac{124424181}{15625000000}}$$

Divide 75\pi by \frac{124424181}{15625000000} by multiplying 75\pi by the reciprocal of \frac{124424181}{15625000000}.

$$\frac{75\pi \times 15625000000}{124424181}$$

Multiply 75 and 15625000000 to get 1171875000000.

$$\frac{1171875000000\pi }{124424181}$$

Divide 1171875000000\pi by 124424181 to get \frac{390625000000}{41474727}\pi .

$$\frac{390625000000}{41474727}\pi$$