Solve frac{-4^1/2-sqrt[5]{243}+sqrt[3]{27}}{sqrt{81}}

$$\frac { - 4 ^ { 1 / 2 } - \sqrt[ 5 ] { 243 } + \sqrt[ 3 ] { 27 } } { \sqrt { 81 } }$$

Evaluate

$$-\frac{2}{9}\approx -0.222222222$$

Solution Steps

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

$$\frac{-2-\sqrt[5]{243}+\sqrt[3]{27}}{\sqrt{81}}$$

Calculate \sqrt[5]{243} and get 3.

$$\frac{-2-3+\sqrt[3]{27}}{\sqrt{81}}$$

Subtract 3 from -2 to get -5.

$$\frac{-5+\sqrt[3]{27}}{\sqrt{81}}$$

Calculate \sqrt[3]{27} and get 3.

$$\frac{-5+3}{\sqrt{81}}$$

Add -5 and 3 to get -2.

$$\frac{-2}{\sqrt{81}}$$

Calculate the square root of 81 and get 9.

$$\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$