Solve (9*10^9)2*10^-6/5^2

$$(9 \times { 10 }^{ 9 } ) \frac{ 2 \times { 10 }^{ -6 } }{ { 5 }^{ 2 } }$$

Evaluate

$$720$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{2\times 10^{-6}}{5^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{2\times 10^{-6}}{5^{2}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$9000000000\times \frac{2\times \frac{1}{1000000}}{5^{2}}$$

Multiply 2 and \frac{1}{1000000} to get \frac{1}{500000}.

$$9000000000\times \frac{\frac{1}{500000}}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$9000000000\times \frac{\frac{1}{500000}}{25}$$

Express \frac{\frac{1}{500000}}{25} as a single fraction.

$$9000000000\times \frac{1}{500000\times 25}$$

Multiply 500000 and 25 to get 12500000.

$$9000000000\times \frac{1}{12500000}$$

Multiply 9000000000 and \frac{1}{12500000} to get 720.

$$720$$

Factor

$$2^{4}\times 3^{2}\times 5$$