Solve (4/7*10^5)^2/frac{3{7}*10^5}

$$\frac { ( \frac { 4 } { 7 } \times 10 ^ { 5 } ) ^ { 2 } } { \frac { 3 } { 7 } \times 10 ^ { 5 } }$$

Evaluate

$$\frac{1600000}{21}\approx 76190.476190476$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{\left(\frac{4}{7}\times 100000\right)^{2}}{\frac{3}{7}\times 10^{5}}$$

Multiply \frac{4}{7} and 100000 to get \frac{400000}{7}.

$$\frac{\left(\frac{400000}{7}\right)^{2}}{\frac{3}{7}\times 10^{5}}$$

Calculate \frac{400000}{7} to the power of 2 and get \frac{160000000000}{49}.

$$\frac{\frac{160000000000}{49}}{\frac{3}{7}\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\frac{160000000000}{49}}{\frac{3}{7}\times 100000}$$

Multiply \frac{3}{7} and 100000 to get \frac{300000}{7}.

$$\frac{\frac{160000000000}{49}}{\frac{300000}{7}}$$

Divide \frac{160000000000}{49} by \frac{300000}{7} by multiplying \frac{160000000000}{49} by the reciprocal of \frac{300000}{7}.

$$\frac{160000000000}{49}\times \frac{7}{300000}$$

Multiply \frac{160000000000}{49} and \frac{7}{300000} to get \frac{1600000}{21}.

$$\frac{1600000}{21}$$

Factor

$$\frac{2 ^ {9} \cdot 5 ^ {5}}{3 \cdot 7} = 76190\frac{10}{21} = 76190.47619047618$$