Solve sqrt[3]{(-8)}-5^2:sqrt[9]{-1}+(2-5)^3=

$$\sqrt[ 3 ] { ( - 8 ) } - 5 ^ { 2 } : \sqrt[ 9 ] { - 1 } + ( 2 - 5 ) ^ { 3 } =$$

Evaluate

$$-4$$

Solution Steps

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

$$-2-\frac{5^{2}}{\sqrt[9]{-1}}+\left(2-5\right)^{3}$$

Calculate 5 to the power of 2 and get 25.

$$-2-\frac{25}{\sqrt[9]{-1}}+\left(2-5\right)^{3}$$

Calculate \sqrt[9]{-1} and get -1.

$$-2-\frac{25}{-1}+\left(2-5\right)^{3}$$

Fraction \frac{25}{-1} can be rewritten as -25 by extracting the negative sign.

$$-2-\left(-25\right)+\left(2-5\right)^{3}$$

The opposite of -25 is 25.

$$-2+25+\left(2-5\right)^{3}$$

Add -2 and 25 to get 23.

$$23+\left(2-5\right)^{3}$$

Subtract 5 from 2 to get -3.

$$23+\left(-3\right)^{3}$$

Calculate -3 to the power of 3 and get -27.

$$23-27$$

Subtract 27 from 23 to get -4.

$$-4$$

Factor

$$-4$$