Solve (3.8*10^8)^3/(27.3)^2

$$\frac { ( 3.8 \times 10 ^ { 8 } ) ^ { 3 } } { ( 27.3 ) ^ { 2 } }$$

Evaluate

$$\frac{5487200000000000000000000000}{74529}\approx 7.362503187 \cdot 10^{22}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(3.8\times 100000000\right)^{3}}{27.3^{2}}$$

Multiply 3.8 and 100000000 to get 380000000.

$$\frac{380000000^{3}}{27.3^{2}}$$

Calculate 380000000 to the power of 3 and get 54872000000000000000000000.

$$\frac{54872000000000000000000000}{27.3^{2}}$$

Calculate 27.3 to the power of 2 and get 745.29.

$$\frac{54872000000000000000000000}{745.29}$$

Expand \frac{54872000000000000000000000}{745.29} by multiplying both numerator and the denominator by 100.

$$\frac{5487200000000000000000000000}{74529}$$

Factor

$$\frac{2 ^ {26} \cdot 5 ^ {23} \cdot 19 ^ {3}}{3 ^ {2} \cdot 7 ^ {2} \cdot 13 ^ {2}} = 7.362503186679009 \times 10^{22}\frac{7139}{74529} = 7.362503186679009 \times 10^{22}$$