Solve 4/3pi*100*1.2^17*6.67*10^-11

$$\frac{ 4 }{ 3 } \pi \times 100 \times { 1.2 }^{ 17 } \times 6.67 \times { 10 }^{ -11 }$$

Evaluate

$$\frac{7350313704192\pi }{37252902984619140625}\approx 0.00000062$$

Solution Steps

Multiply \frac{4}{3} and 100 to get \frac{400}{3}.

$$\frac{400}{3}\pi \times 1.2^{17}\times 6.67\times 10^{-11}$$

Calculate 1.2 to the power of 17 and get 22.18611106740436992.

$$\frac{400}{3}\pi \times 22.18611106740436992\times 6.67\times 10^{-11}$$

Multiply \frac{400}{3} and 22.18611106740436992 to get \frac{90275517038592}{30517578125}.

$$\frac{90275517038592}{30517578125}\pi \times 6.67\times 10^{-11}$$

Multiply \frac{90275517038592}{30517578125} and 6.67 to get \frac{15053442466185216}{762939453125}.

$$\frac{15053442466185216}{762939453125}\pi \times 10^{-11}$$

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

$$\frac{15053442466185216}{762939453125}\pi \times \frac{1}{100000000000}$$

Multiply \frac{15053442466185216}{762939453125} and \frac{1}{100000000000} to get \frac{7350313704192}{37252902984619140625}.

$$\frac{7350313704192}{37252902984619140625}\pi$$