Solve 9*10^9((-2*10^-3)(6*10^-3)/0.4^2)

$$9 \times { 10 }^{ 9 } ( \frac{ (-2 \times { 10 }^{ -3 } )(6 \times { 10 }^{ -3 } ) }{ { 0.4 }^{ 2 } } )$$

Evaluate

$$-675000$$

Solution Steps

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

$$9\times 10^{9}\times \frac{-2\times 10^{-6}\times 6}{0.4^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{-2\times 10^{-6}\times 6}{0.4^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{-2\times 10^{-6}\times 6}{0.4^{2}}$$

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

$$9000000000\times \frac{-2\times \frac{1}{1000000}\times 6}{0.4^{2}}$$

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

$$9000000000\times \frac{-\frac{1}{500000}\times 6}{0.4^{2}}$$

Multiply -\frac{1}{500000} and 6 to get -\frac{3}{250000}.

$$9000000000\times \frac{-\frac{3}{250000}}{0.4^{2}}$$

Calculate 0.4 to the power of 2 and get 0.16.

$$9000000000\times \frac{-\frac{3}{250000}}{0.16}$$

Express \frac{-\frac{3}{250000}}{0.16} as a single fraction.

$$9000000000\times \frac{-3}{250000\times 0.16}$$

Multiply 250000 and 0.16 to get 40000.

$$9000000000\times \frac{-3}{40000}$$

Fraction \frac{-3}{40000} can be rewritten as -\frac{3}{40000} by extracting the negative sign.

$$9000000000\left(-\frac{3}{40000}\right)$$

Multiply 9000000000 and -\frac{3}{40000} to get -675000.

$$-675000$$

Factor

$$-675000$$