Solve 8/6^-5*6-5

$$8 / 6 ^ { - 5 \cdot 6 - 5 }$$

Evaluate

$$\frac{50031545098999707}{1180591620717411303424}\approx 0.000042378$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{4}{3}\right)^{-5\times 6-5}$$

Multiply -5 and 6 to get -30.

$$\left(\frac{4}{3}\right)^{-30-5}$$

Subtract 5 from -30 to get -35.

$$\left(\frac{4}{3}\right)^{-35}$$

Calculate \frac{4}{3} to the power of -35 and get \frac{50031545098999707}{1180591620717411303424}.

$$\frac{50031545098999707}{1180591620717411303424}$$

Factor

$$\frac{3 ^ {35}}{2 ^ {70}} = 4.2378367100892165 \times 10^{-5}$$