Solve 8^-1*5^13/2-4

$$\frac { 8 ^ { - 1 } \times 5 ^ { 13 } } { 2 - 4 }$$

Evaluate

$$-\frac{1220703125}{16}=-76293945.3125$$

Solution Steps

Calculate 8 to the power of -1 and get \frac{1}{8}.

$$\frac{\frac{1}{8}\times 5^{13}}{2-4}$$

Calculate 5 to the power of 13 and get 1220703125.

$$\frac{\frac{1}{8}\times 1220703125}{2-4}$$

Multiply \frac{1}{8} and 1220703125 to get \frac{1220703125}{8}.

$$\frac{\frac{1220703125}{8}}{2-4}$$

Subtract 4 from 2 to get -2.

$$\frac{\frac{1220703125}{8}}{-2}$$

Express \frac{\frac{1220703125}{8}}{-2} as a single fraction.

$$\frac{1220703125}{8\left(-2\right)}$$

Multiply 8 and -2 to get -16.

$$\frac{1220703125}{-16}$$

Fraction \frac{1220703125}{-16} can be rewritten as -\frac{1220703125}{16} by extracting the negative sign.

$$-\frac{1220703125}{16}$$

Factor

$$-\frac{1220703125}{16} = -76293945\frac{5}{16} = -76293945.3125$$