Solve 5^2:(-8^-3)^-4*76/2

$$\frac { 5 ^ { 2 } : ( - 8 ^ { - 3 } ) ^ { - 4 } \cdot 76 } { 2 }$$

Evaluate

$$\frac{475}{34359738368}=0.000000014$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\frac{25}{\left(-8^{-3}\right)^{-4}}\times 76}{2}$$

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

$$\frac{\frac{25}{\left(-\frac{1}{512}\right)^{-4}}\times 76}{2}$$

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

$$\frac{\frac{25}{68719476736}\times 76}{2}$$

Multiply \frac{25}{68719476736} and 76 to get \frac{475}{17179869184}.

$$\frac{\frac{475}{17179869184}}{2}$$

Express \frac{\frac{475}{17179869184}}{2} as a single fraction.

$$\frac{475}{17179869184\times 2}$$

Multiply 17179869184 and 2 to get 34359738368.

$$\frac{475}{34359738368}$$

Factor

$$\frac{5 ^ {2} \cdot 19}{2 ^ {35}} = 1.382431946694851 \times 10^{-8}$$