Solve (5-1)^-2*(2^4*5^7)

$$( 5 - 1 ) ^ { - 2 } \times ( 2 ^ { 4 } \cdot 5 ^ { 7 } )$$

Evaluate

$$78125$$

Solution Steps

Subtract 1 from 5 to get 4.

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

Calculate 4 to the power of -2 and get \frac{1}{16}.

$$\frac{1}{16}\times 2^{4}\times 5^{7}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{1}{16}\times 16\times 5^{7}$$

Multiply \frac{1}{16} and 16 to get 1.

$$5^{7}$$

Calculate 5 to the power of 7 and get 78125.

$$78125$$

Factor

$$5^{7}$$