Solve 8*9.8/16^71700^2/6.671^-112200

$$\frac{ \frac{ 8 \cdot 9.8 }{ { 16 }^{ 7 } } { 1700 }^{ 2 } }{ 6.67 { 1 }^{ -11 } 2200 }$$

Evaluate

$$\frac{1770125}{30773608448}\approx 0.000057521$$

Solution Steps

Multiply 8 and 9.8 to get 78.4.

$$\frac{\frac{78.4}{16^{7}}\times 1700^{2}}{6.67\times 1^{-11}\times 2200}$$

Calculate 16 to the power of 7 and get 268435456.

$$\frac{\frac{78.4}{268435456}\times 1700^{2}}{6.67\times 1^{-11}\times 2200}$$

Expand \frac{78.4}{268435456} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{784}{2684354560}\times 1700^{2}}{6.67\times 1^{-11}\times 2200}$$

Reduce the fraction \frac{784}{2684354560} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{49}{167772160}\times 1700^{2}}{6.67\times 1^{-11}\times 2200}$$

Calculate 1700 to the power of 2 and get 2890000.

$$\frac{\frac{49}{167772160}\times 2890000}{6.67\times 1^{-11}\times 2200}$$

Multiply \frac{49}{167772160} and 2890000 to get \frac{1770125}{2097152}.

$$\frac{\frac{1770125}{2097152}}{6.67\times 1^{-11}\times 2200}$$

Calculate 1 to the power of -11 and get 1.

$$\frac{\frac{1770125}{2097152}}{6.67\times 1\times 2200}$$

Multiply 6.67 and 1 to get 6.67.

$$\frac{\frac{1770125}{2097152}}{6.67\times 2200}$$

Multiply 6.67 and 2200 to get 14674.

$$\frac{\frac{1770125}{2097152}}{14674}$$

Express \frac{\frac{1770125}{2097152}}{14674} as a single fraction.

$$\frac{1770125}{2097152\times 14674}$$

Multiply 2097152 and 14674 to get 30773608448.

$$\frac{1770125}{30773608448}$$

Factor

$$\frac{5 ^ {3} \cdot 7 ^ {2} \cdot 17 ^ {2}}{11 \cdot 23 \cdot 29 \cdot 2 ^ {22}} = 5.752087874228613 \times 10^{-5}$$