Solve sqrt{-4^-2+(-1/2)^4+(0,6)^-2}

$$\sqrt { - 4 ^ { - 2 } + ( - \frac { 1 } { 2 } ) ^ { 4 } + ( 0,6 ) ^ { - 2 } }$$

Evaluate

$$\frac{5}{3}\approx 1,666666667$$

Solution Steps

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

$$\sqrt{-\frac{1}{16}+\left(-\frac{1}{2}\right)^{4}+0,6^{-2}}$$

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

$$\sqrt{-\frac{1}{16}+\frac{1}{16}+0,6^{-2}}$$

Add -\frac{1}{16} and \frac{1}{16} to get 0.

$$\sqrt{0,6^{-2}}$$

Calculate 0,6 to the power of -2 and get \frac{25}{9}.

$$\sqrt{\frac{25}{9}}$$

Calculate the square root of \frac{25}{9} and get \frac{5}{3}.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$