Solve (-10)^5:(-2^4*5)^3

$$( - 10 ) ^ { 5 } : ( - 2 ^ { 4 } \cdot 5 ) ^ { 3 }$$

Evaluate

$$\frac{25}{128}=0.1953125$$

Solution Steps

Calculate -10 to the power of 5 and get -100000.

$$\frac{-100000}{\left(\left(-2^{4}\right)\times 5\right)^{3}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{-100000}{\left(-16\times 5\right)^{3}}$$

Multiply -16 and 5 to get -80.

$$\frac{-100000}{\left(-80\right)^{3}}$$

Calculate -80 to the power of 3 and get -512000.

$$\frac{-100000}{-512000}$$

Reduce the fraction \frac{-100000}{-512000} to lowest terms by extracting and canceling out -4000.

$$\frac{25}{128}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {7}} = 0.1953125$$