Solve sqrt{sqrt{9}+-1^2}+sqrt[3]{-8}*sqrt{121}+(5+-2^4*-1)div-7

$$\sqrt{ \sqrt{ 9 } + { -1 }^{ 2 } } + \sqrt[3]{ -8 } \times \sqrt{ 121 } +(5+ { -2 }^{ 4 } \times -1) \div -7$$

Evaluate

$$-\frac{129}{7}\approx -18.428571429$$

Solution Steps

Calculate the square root of 9 and get 3.

$$\sqrt{3+\left(-1\right)^{2}}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calculate -1 to the power of 2 and get 1.

$$\sqrt{3+1}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Add 3 and 1 to get 4.

$$\sqrt{4}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calculate the square root of 4 and get 2.

$$2+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

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

$$2-2\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calculate the square root of 121 and get 11.

$$2-2\times 11+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Multiply -2 and 11 to get -22.

$$2-22+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Subtract 22 from 2 to get -20.

$$-20+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calculate -2 to the power of 4 and get 16.

$$-20+\frac{5+16\left(-1\right)}{-7}$$

Multiply 16 and -1 to get -16.

$$-20+\frac{5-16}{-7}$$

Subtract 16 from 5 to get -11.

$$-20+\frac{-11}{-7}$$

Fraction \frac{-11}{-7} can be simplified to \frac{11}{7} by removing the negative sign from both the numerator and the denominator.

$$-20+\frac{11}{7}$$

Add -20 and \frac{11}{7} to get -\frac{129}{7}.

$$-\frac{129}{7}$$

Factor

$$-\frac{129}{7} = -18\frac{3}{7} = -18.428571428571427$$