Solve 9*10^9(1*10^-6)(1*10^-6)div4

$$9 \times { 10 }^{ 9 } (1 \times { 10 }^{ -6 } )(1 \times { 10 }^{ -6 } ) \div 4$$

Evaluate

$$\frac{9}{4000}=0.00225$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 1\times 1\times 10^{-6}}{4}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$\frac{9\times 10^{-3}\times 1\times 1}{4}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{9\times \frac{1}{1000}\times 1\times 1}{4}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}\times 1\times 1}{4}$$

Multiply \frac{9}{1000} and 1 to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}\times 1}{4}$$

Multiply \frac{9}{1000} and 1 to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}}{4}$$

Express \frac{\frac{9}{1000}}{4} as a single fraction.

$$\frac{9}{1000\times 4}$$

Multiply 1000 and 4 to get 4000.

$$\frac{9}{4000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5} \cdot 5 ^ {3}} = 0.00225$$