Solve (-30.27*10^3-160*10^3)*0.3/2*10^11*2*105*10^-4

$$\frac{ (-30.27 \times { 10 }^{ 3 } -160 \times { 10 }^{ 3 } ) \times 0.3 }{ 2 \times { 10 }^{ 11 } \times 2 \times 105 \times { 10 }^{ -4 } }$$

Evaluate

$$-\frac{19027}{1400000000}\approx -0.000013591$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and -4 to get 7.

$$\frac{\left(-30.27\times 10^{3}-160\times 10^{3}\right)\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\left(-30.27\times 1000-160\times 10^{3}\right)\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Multiply -30.27 and 1000 to get -30270.

$$\frac{\left(-30270-160\times 10^{3}\right)\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\left(-30270-160\times 1000\right)\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Multiply 160 and 1000 to get 160000.

$$\frac{\left(-30270-160000\right)\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Subtract 160000 from -30270 to get -190270.

$$\frac{-190270\times 0.3}{2\times 10^{7}\times 2\times 105}$$

Multiply -190270 and 0.3 to get -57081.

$$\frac{-57081}{2\times 10^{7}\times 2\times 105}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{-57081}{2\times 10000000\times 2\times 105}$$

Multiply 2 and 10000000 to get 20000000.

$$\frac{-57081}{20000000\times 2\times 105}$$

Multiply 20000000 and 2 to get 40000000.

$$\frac{-57081}{40000000\times 105}$$

Multiply 40000000 and 105 to get 4200000000.

$$\frac{-57081}{4200000000}$$

Reduce the fraction \frac{-57081}{4200000000} to lowest terms by extracting and canceling out 3.

$$-\frac{19027}{1400000000}$$

Factor

$$-\frac{19027}{1400000000} = -1.3590714285714285 \times 10^{-5}$$