Solve 5^-2(5^2-5^0)

$$5 ^ { - 2 } ( 5 ^ { 2 } - 5 ^ { 0 } )$$

Evaluate

$$\frac{24}{25}=0.96$$

Solution Steps

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

$$\frac{1}{25}\left(5^{2}-5^{0}\right)$$

Calculate 5 to the power of 2 and get 25.

$$\frac{1}{25}\left(25-5^{0}\right)$$

Calculate 5 to the power of 0 and get 1.

$$\frac{1}{25}\left(25-1\right)$$

Subtract 1 from 25 to get 24.

$$\frac{1}{25}\times 24$$

Multiply \frac{1}{25} and 24 to get \frac{24}{25}.

$$\frac{24}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5 ^ {2}} = 0.96$$