Solve frac{sqrt{25}+8^frac{1{3}}}{sqrt[5]{-1}}+(1/5)^-1

$$\frac { \sqrt { 25 } + 8 ^ { \frac { 1 } { 3 } } } { \sqrt[ 5 ] { - 1 } } + ( \frac { 1 } { 5 } ) ^ { - 1 }$$

Evaluate

$$-2$$

Solution Steps

Calculate the square root of 25 and get 5.

$$\frac{5+8^{\frac{1}{3}}}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

Calculate 8 to the power of \frac{1}{3} and get 2.

$$\frac{5+2}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

Add 5 and 2 to get 7.

$$\frac{7}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

Calculate \sqrt[5]{-1} and get -1.

$$\frac{7}{-1}+\left(\frac{1}{5}\right)^{-1}$$

Fraction \frac{7}{-1} can be rewritten as -7 by extracting the negative sign.

$$-7+\left(\frac{1}{5}\right)^{-1}$$

Calculate \frac{1}{5} to the power of -1 and get 5.

$$-7+5$$

Add -7 and 5 to get -2.

$$-2$$

Factor

$$-2$$