Solve 5^16^2/14^-2

$$\frac { 5 ^ { 1 } 6 ^ { 2 } } { 14 ^ { - 2 } }$$

Evaluate

$$35280$$

Solution Steps

Calculate 5 to the power of 1 and get 5.

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

Calculate 6 to the power of 2 and get 36.

$$\frac{5\times 36}{14^{-2}}$$

Multiply 5 and 36 to get 180.

$$\frac{180}{14^{-2}}$$

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

$$\frac{180}{\frac{1}{196}}$$

Divide 180 by \frac{1}{196} by multiplying 180 by the reciprocal of \frac{1}{196}.

$$180\times 196$$

Multiply 180 and 196 to get 35280.

$$35280$$

Factor

$$2^{4}\times 3^{2}\times 5\times 7^{2}$$