Solve sqrt[10]{-1024}-sqrt[7]{-128}

$$\sqrt[ 10 ]{ -1024 } - \sqrt[ 7 ]{ -128 }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate \sqrt[7]{-128} and get -2.

$$\sqrt[10]{-1024}-\left(-2\right)$$

The opposite of -2 is 2.

$$\sqrt[10]{-1024}+2$$

Evaluate (complex solution)

$$4\sin(\frac{3\pi }{140})e^{\frac{227\pi i}{140}}\approx 0.100175297-0.249733489i$$

Real Part (complex solution)

$$4Im(e^{\frac{17\pi i}{140}})\sin(\frac{3\pi }{140})$$