Solve (3*10^3)^2div(5*10)^4

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

Evaluate

$$\frac{36}{25}=1.44$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{\left(3\times 1000\right)^{2}}{\left(5\times 10\right)^{4}}$$

Multiply 3 and 1000 to get 3000.

$$\frac{3000^{2}}{\left(5\times 10\right)^{4}}$$

Calculate 3000 to the power of 2 and get 9000000.

$$\frac{9000000}{\left(5\times 10\right)^{4}}$$

Multiply 5 and 10 to get 50.

$$\frac{9000000}{50^{4}}$$

Calculate 50 to the power of 4 and get 6250000.

$$\frac{9000000}{6250000}$$

Reduce the fraction \frac{9000000}{6250000} to lowest terms by extracting and canceling out 250000.

$$\frac{36}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 1\frac{11}{25} = 1.44$$