Solve frac{sqrt{(-4)^2}}{(-3)^2}(2)^1

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

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Calculate -4 to the power of 2 and get 16.

$$\frac{\sqrt{16}}{\left(-3\right)^{2}}\times 2^{1}$$

Calculate the square root of 16 and get 4.

$$\frac{4}{\left(-3\right)^{2}}\times 2^{1}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{4}{9}\times 2^{1}$$

Calculate 2 to the power of 1 and get 2.

$$\frac{4}{9}\times 2$$

Express \frac{4}{9}\times 2 as a single fraction.

$$\frac{4\times 2}{9}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$