Solve 9*10^9*(4*10^-6)*(12*10^-6)

$$9 \times { 10 }^{ 9 } \times (4 \times { 10 }^{ -6 } ) \times (12 \times { 10 }^{ -6 } )$$

Evaluate

$$\frac{54}{125}=0.432$$

Solution Steps

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

$$9\times 10^{3}\times 4\times 12\times 10^{-6}$$

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

$$9\times 10^{-3}\times 4\times 12$$

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

$$9\times \frac{1}{1000}\times 4\times 12$$

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

$$\frac{9}{1000}\times 4\times 12$$

Multiply \frac{9}{1000} and 4 to get \frac{9}{250}.

$$\frac{9}{250}\times 12$$

Multiply \frac{9}{250} and 12 to get \frac{54}{125}.

$$\frac{54}{125}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5 ^ {3}} = 0.432$$