Solve 14*10^3+(16-14)*10^3*[-7,5-(-5)]/[-7,5-(-10,533)]=

$$\frac { 14 \cdot 10 ^ { 3 } + ( 16 - 14 ) \cdot 10 ^ { 3 } \cdot [ - 7,5 - ( - 5 ) ] } { [ - 7,5 - ( - 10,533 ) ] } =$$

Evaluate

$$\frac{1000000}{337}\approx 2967,359050445$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{14\times 1000+\left(16-14\right)\times 10^{3}\left(-7,5-\left(-5\right)\right)}{-7,5-\left(-10,533\right)}$$

Multiply 14 and 1000 to get 14000.

$$\frac{14000+\left(16-14\right)\times 10^{3}\left(-7,5-\left(-5\right)\right)}{-7,5-\left(-10,533\right)}$$

Subtract 14 from 16 to get 2.

$$\frac{14000+2\times 10^{3}\left(-7,5-\left(-5\right)\right)}{-7,5-\left(-10,533\right)}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{14000+2\times 1000\left(-7,5-\left(-5\right)\right)}{-7,5-\left(-10,533\right)}$$

Multiply 2 and 1000 to get 2000.

$$\frac{14000+2000\left(-7,5-\left(-5\right)\right)}{-7,5-\left(-10,533\right)}$$

The opposite of -5 is 5.

$$\frac{14000+2000\left(-7,5+5\right)}{-7,5-\left(-10,533\right)}$$

Add -7,5 and 5 to get -2,5.

$$\frac{14000+2000\left(-2,5\right)}{-7,5-\left(-10,533\right)}$$

Multiply 2000 and -2,5 to get -5000.

$$\frac{14000-5000}{-7,5-\left(-10,533\right)}$$

Subtract 5000 from 14000 to get 9000.

$$\frac{9000}{-7,5-\left(-10,533\right)}$$

The opposite of -10,533 is 10,533.

$$\frac{9000}{-7,5+10,533}$$

Add -7,5 and 10,533 to get 3,033.

$$\frac{9000}{3,033}$$

Expand \frac{9000}{3,033} by multiplying both numerator and the denominator by 1000.

$$\frac{9000000}{3033}$$

Reduce the fraction \frac{9000000}{3033} to lowest terms by extracting and canceling out 9.

$$\frac{1000000}{337}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {6}}{337} = 2967\frac{121}{337} = 2967.359050445104$$