Solve frac{sqrt{25}+8^frac{2{3}}}{sqrt[5]{-1}}+(1/5)^-1

$$\frac { \sqrt { 25 } + 8 ^ { \frac { 2 } { 3 } } } { \sqrt[ 5 ] { - 1 } } + ( \frac { 1 } { 5 } ) ^ { - 1 }$$

Evaluate

$$-4$$

Solution Steps

Calculate the square root of 25 and get 5.

$$\frac{5+8^{\frac{2}{3}}}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$\frac{5+4}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

Add 5 and 4 to get 9.

$$\frac{9}{\sqrt[5]{-1}}+\left(\frac{1}{5}\right)^{-1}$$

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

$$\frac{9}{-1}+\left(\frac{1}{5}\right)^{-1}$$

Fraction \frac{9}{-1} can be rewritten as -9 by extracting the negative sign.

$$-9+\left(\frac{1}{5}\right)^{-1}$$

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

$$-9+5$$

Add -9 and 5 to get -4.

$$-4$$

Factor

$$-4$$