Solve (9*10^9)(-5*10^-6)(3*10^-6)/2*10^-3

$$\frac{ (9 \times { 10 }^{ 9 } )(-5 \times { 10 }^{ -6 } )(3 \times { 10 }^{ -6 } ) }{ 2 \times { 10 }^{ -3 } }$$

Evaluate

$$-\frac{135}{2}=-67.5$$

Solution Steps

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

$$\frac{9\times 10^{3}\left(-5\right)\times 3\times 10^{-6}}{2\times 10^{-3}}$$

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

$$\frac{9\times 10^{-3}\left(-5\right)\times 3}{2\times 10^{-3}}$$

Cancel out 10^{-3} in both numerator and denominator.

$$\frac{-5\times 3\times 9}{2}$$

Multiply -5 and 3 to get -15.

$$\frac{-15\times 9}{2}$$

Multiply -15 and 9 to get -135.

$$\frac{-135}{2}$$

Fraction \frac{-135}{2} can be rewritten as -\frac{135}{2} by extracting the negative sign.

$$-\frac{135}{2}$$

Factor

$$-\frac{135}{2} = -67\frac{1}{2} = -67.5$$