Solve 5^-46^2/14^-2

$$\frac { 5 ^ { - 4 } 6 ^ { 2 } } { 14 ^ { - 2 } }$$

Evaluate

$$\frac{7056}{625}=11.2896$$

Solution Steps

Calculate 5 to the power of -4 and get \frac{1}{625}.

$$\frac{\frac{1}{625}\times 6^{2}}{14^{-2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{\frac{1}{625}\times 36}{14^{-2}}$$

Multiply \frac{1}{625} and 36 to get \frac{36}{625}.

$$\frac{\frac{36}{625}}{14^{-2}}$$

Calculate 14 to the power of -2 and get \frac{1}{196}.

$$\frac{\frac{36}{625}}{\frac{1}{196}}$$

Divide \frac{36}{625} by \frac{1}{196} by multiplying \frac{36}{625} by the reciprocal of \frac{1}{196}.

$$\frac{36}{625}\times 196$$

Multiply \frac{36}{625} and 196 to get \frac{7056}{625}.

$$\frac{7056}{625}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 7 ^ {2}}{5 ^ {4}} = 11\frac{181}{625} = 11.2896$$