Solve (5)^-40*(-8/2)^40

$$( 5 ) ^ { - 40 } \times ( \frac { - 8 } { 2 } ) ^ { 40 }$$

Evaluate

$$\frac{1208925819614629174706176}{9094947017729282379150390625}=0.000132923$$

Solution Steps

Calculate 5 to the power of -40 and get \frac{1}{9094947017729282379150390625}.

$$\frac{1}{9094947017729282379150390625}\times \left(\frac{-8}{2}\right)^{40}$$

Divide -8 by 2 to get -4.

$$\frac{1}{9094947017729282379150390625}\left(-4\right)^{40}$$

Calculate -4 to the power of 40 and get 1208925819614629174706176.

$$\frac{1}{9094947017729282379150390625}\times 1208925819614629174706176$$

Multiply \frac{1}{9094947017729282379150390625} and 1208925819614629174706176 to get \frac{1208925819614629174706176}{9094947017729282379150390625}.

$$\frac{1208925819614629174706176}{9094947017729282379150390625}$$

Factor

$$\frac{2 ^ {80}}{5 ^ {40}} = 0.00013292279957849158$$