Solve (25^-3*5^-1)^-1=

$$( 25 ^ { - 3 } \cdot 5 ^ { - 1 } ) ^ { - 1 } =$$

Evaluate

$$78125$$

Solution Steps

Calculate 25 to the power of -3 and get \frac{1}{15625}.

$$\left(\frac{1}{15625}\times 5^{-1}\right)^{-1}$$

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

$$\left(\frac{1}{15625}\times \frac{1}{5}\right)^{-1}$$

Multiply \frac{1}{15625} and \frac{1}{5} to get \frac{1}{78125}.

$$\left(\frac{1}{78125}\right)^{-1}$$

Calculate \frac{1}{78125} to the power of -1 and get 78125.

$$78125$$

Factor

$$5^{7}$$