Solve frac{5^2/left(-8^-3right)^-4sqrt{6}}{2}

$$\frac{ \frac{ { 5 }^{ 2 } }{ { \left(- { 8 }^{ -3 } \right) }^{ -4 } } \sqrt{ 6 } }{ 2 }$$

Evaluate

$$\frac{25\sqrt{6}}{137438953472}\approx 4.455595886 \cdot 10^{-10}$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\frac{25}{\left(-8^{-3}\right)^{-4}}\sqrt{6}}{2}$$

Calculate 8 to the power of -3 and get \frac{1}{512}.

$$\frac{\frac{25}{\left(-\frac{1}{512}\right)^{-4}}\sqrt{6}}{2}$$

Calculate -\frac{1}{512} to the power of -4 and get 68719476736.

$$\frac{\frac{25}{68719476736}\sqrt{6}}{2}$$

Divide \frac{25}{68719476736}\sqrt{6} by 2 to get \frac{25}{137438953472}\sqrt{6}.

$$\frac{25}{137438953472}\sqrt{6}$$