Solve 126*10^-6*2,5*10^-1-1600^2/2=

$$\frac { 126 \cdot 10 ^ { - 6 } \cdot 2,5 \cdot 10 ^ { - 1 } - 1600 ^ { 2 } } { 2 } =$$

Evaluate

$$-1279999,99998425$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -1 to get -7.

$$\frac{126\times 10^{-7}\times 2,5-1600^{2}}{2}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{126\times \frac{1}{10000000}\times 2,5-1600^{2}}{2}$$

Multiply 126 and \frac{1}{10000000} to get \frac{63}{5000000}.

$$\frac{\frac{63}{5000000}\times 2,5-1600^{2}}{2}$$

Multiply \frac{63}{5000000} and 2,5 to get \frac{63}{2000000}.

$$\frac{\frac{63}{2000000}-1600^{2}}{2}$$

Calculate 1600 to the power of 2 and get 2560000.

$$\frac{\frac{63}{2000000}-2560000}{2}$$

Subtract 2560000 from \frac{63}{2000000} to get -\frac{5119999999937}{2000000}.

$$\frac{-\frac{5119999999937}{2000000}}{2}$$

Express \frac{-\frac{5119999999937}{2000000}}{2} as a single fraction.

$$\frac{-5119999999937}{2000000\times 2}$$

Multiply 2000000 and 2 to get 4000000.

$$\frac{-5119999999937}{4000000}$$

Fraction \frac{-5119999999937}{4000000} can be rewritten as -\frac{5119999999937}{4000000} by extracting the negative sign.

$$-\frac{5119999999937}{4000000}$$

Factor

$$-1279999,99998425$$