Solve left(3*8*10^5right)^2/5.9*10^4

$$\frac{ { \left(3 \cdot 8 \times { 10 }^{ 5 } \right) }^{ 2 } }{ 5.9 \times { 10 }^{ 4 } }$$

Evaluate

$$\frac{5760000000}{59}\approx 97627118.644067797$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{\left(24\times 10^{5}\right)^{2}}{5.9\times 10^{4}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\left(24\times 100000\right)^{2}}{5.9\times 10^{4}}$$

Multiply 24 and 100000 to get 2400000.

$$\frac{2400000^{2}}{5.9\times 10^{4}}$$

Calculate 2400000 to the power of 2 and get 5760000000000.

$$\frac{5760000000000}{5.9\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{5760000000000}{5.9\times 10000}$$

Multiply 5.9 and 10000 to get 59000.

$$\frac{5760000000000}{59000}$$

Reduce the fraction \frac{5760000000000}{59000} to lowest terms by extracting and canceling out 1000.

$$\frac{5760000000}{59}$$

Factor

$$\frac{2 ^ {13} \cdot 3 ^ {2} \cdot 5 ^ {7}}{59} = 97627118\frac{38}{59} = 97627118.6440678$$