Solve 5^6+5^-2/5-2

$$\frac { 5 ^ { 6 } + 5 ^ { - 2 } } { 5 - 2 }$$

Evaluate

$$\frac{390626}{75}\approx 5208.346666667$$

Solution Steps

Calculate 5 to the power of 6 and get 15625.

$$\frac{15625+5^{-2}}{5-2}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\frac{15625+\frac{1}{25}}{5-2}$$

Add 15625 and \frac{1}{25} to get \frac{390626}{25}.

$$\frac{\frac{390626}{25}}{5-2}$$

Subtract 2 from 5 to get 3.

$$\frac{\frac{390626}{25}}{3}$$

Express \frac{\frac{390626}{25}}{3} as a single fraction.

$$\frac{390626}{25\times 3}$$

Multiply 25 and 3 to get 75.

$$\frac{390626}{75}$$

Factor

$$\frac{2 \cdot 17 \cdot 11489}{3 \cdot 5 ^ {2}} = 5208\frac{26}{75} = 5208.346666666666$$