Solve sqrt[8]{left(-1div2*23right)^8}

$$\sqrt[ 8 ]{ { \left(-1 \div 2 \cdot 23 \right) }^{ 8 } }$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\sqrt[8]{\left(-\frac{1}{2}\times 23\right)^{8}}$$

Multiply -\frac{1}{2} and 23 to get -\frac{23}{2}.

$$\sqrt[8]{\left(-\frac{23}{2}\right)^{8}}$$

Calculate -\frac{23}{2} to the power of 8 and get \frac{78310985281}{256}.

$$\sqrt[8]{\frac{78310985281}{256}}$$

Calculate \sqrt[8]{\frac{78310985281}{256}} and get \frac{23}{2}.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$