Solve 2,5*10^-14-5*10^-5/2*10^-4*4*10^-6

$$\frac { 2,5 \times 10 ^ { - 14 } - 5 \times 10 ^ { - 5 } } { 2 \times 10 ^ { - 4 } \times 4 \times 10 ^ { - 6 } }$$

Evaluate

$$-62499,99996875$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -6 to get -10.

$$\frac{2,5\times 10^{-14}-5\times 10^{-5}}{2\times 10^{-10}\times 4}$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$\frac{2,5\times \frac{1}{100000000000000}-5\times 10^{-5}}{2\times 10^{-10}\times 4}$$

Multiply 2,5 and \frac{1}{100000000000000} to get \frac{1}{40000000000000}.

$$\frac{\frac{1}{40000000000000}-5\times 10^{-5}}{2\times 10^{-10}\times 4}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{\frac{1}{40000000000000}-5\times \frac{1}{100000}}{2\times 10^{-10}\times 4}$$

Multiply 5 and \frac{1}{100000} to get \frac{1}{20000}.

$$\frac{\frac{1}{40000000000000}-\frac{1}{20000}}{2\times 10^{-10}\times 4}$$

Subtract \frac{1}{20000} from \frac{1}{40000000000000} to get -\frac{1999999999}{40000000000000}.

$$\frac{-\frac{1999999999}{40000000000000}}{2\times 10^{-10}\times 4}$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{-\frac{1999999999}{40000000000000}}{2\times \frac{1}{10000000000}\times 4}$$

Multiply 2 and \frac{1}{10000000000} to get \frac{1}{5000000000}.

$$\frac{-\frac{1999999999}{40000000000000}}{\frac{1}{5000000000}\times 4}$$

Multiply \frac{1}{5000000000} and 4 to get \frac{1}{1250000000}.

$$\frac{-\frac{1999999999}{40000000000000}}{\frac{1}{1250000000}}$$

Divide -\frac{1999999999}{40000000000000} by \frac{1}{1250000000} by multiplying -\frac{1999999999}{40000000000000} by the reciprocal of \frac{1}{1250000000}.

$$-\frac{1999999999}{40000000000000}\times 1250000000$$

Multiply -\frac{1999999999}{40000000000000} and 1250000000 to get -\frac{1999999999}{32000}.

$$-\frac{1999999999}{32000}$$

Factor

$$-62499,99996875$$