Solve (-1)^3*-4^2/sqrt{100}

$$\frac { ( - 1 ) ^ { 3 } \times - 4 ^ { 2 } } { \sqrt { 100 } }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$\frac{-\left(-4^{2}\right)}{\sqrt{100}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{-\left(-16\right)}{\sqrt{100}}$$

Multiply -1 and -16 to get 16.

$$\frac{16}{\sqrt{100}}$$

Calculate the square root of 100 and get 10.

$$\frac{16}{10}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$