Solve 9*10^9*(4*10^-8)*(4*10^-8)/2^2=

$$9 \times { 10 }^{ 9 } \times \frac{ (4 \times { 10 }^{ -8 } ) \times (4 \times { 10 }^{ -8 } ) }{ { 2 }^{ 2 } } =$$

Evaluate

$$\frac{9}{2500000}=0.0000036$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -8 and -8 to get -16.

$$9\times 10^{9}\times \frac{4\times 10^{-16}\times 4}{2^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{4\times 10^{-16}\times 4}{2^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{4\times 10^{-16}\times 4}{2^{2}}$$

Calculate 10 to the power of -16 and get \frac{1}{10000000000000000}.

$$9000000000\times \frac{4\times \frac{1}{10000000000000000}\times 4}{2^{2}}$$

Multiply 4 and \frac{1}{10000000000000000} to get \frac{1}{2500000000000000}.

$$9000000000\times \frac{\frac{1}{2500000000000000}\times 4}{2^{2}}$$

Multiply \frac{1}{2500000000000000} and 4 to get \frac{1}{625000000000000}.

$$9000000000\times \frac{\frac{1}{625000000000000}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$9000000000\times \frac{\frac{1}{625000000000000}}{4}$$

Express \frac{\frac{1}{625000000000000}}{4} as a single fraction.

$$9000000000\times \frac{1}{625000000000000\times 4}$$

Multiply 625000000000000 and 4 to get 2500000000000000.

$$9000000000\times \frac{1}{2500000000000000}$$

Multiply 9000000000 and \frac{1}{2500000000000000} to get \frac{9}{2500000}.

$$\frac{9}{2500000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5} \cdot 5 ^ {7}} = 3.6 \times 10^{-6}$$