Solve sqrt[3]{-frac{1/8}+sqrt[5]{-32}}{sqrt{144}}=

$$\frac { \sqrt[ 3 ] { - \frac { 1 } { 8 } } + \sqrt[ 5 ] { - 32 } } { \sqrt { 144 } } =$$

Evaluate

$$-\frac{5}{24}\approx -0.208333333$$

Solution Steps

Calculate \sqrt[3]{-\frac{1}{8}} and get -\frac{1}{2}.

$$\frac{-\frac{1}{2}+\sqrt[5]{-32}}{\sqrt{144}}$$

Calculate \sqrt[5]{-32} and get -2.

$$\frac{-\frac{1}{2}-2}{\sqrt{144}}$$

Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.

$$\frac{-\frac{5}{2}}{\sqrt{144}}$$

Calculate the square root of 144 and get 12.

$$\frac{-\frac{5}{2}}{12}$$

Express \frac{-\frac{5}{2}}{12} as a single fraction.

$$\frac{-5}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{-5}{24}$$

Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} by extracting the negative sign.

$$-\frac{5}{24}$$

Factor

$$-\frac{5}{24} = -0.20833333333333334$$