Latest Posts

The value of 512-2/9 is

The given expression can be written as \(\begin{array}{l}(512)^{-\frac{2}{9}} =\left(2^{9}\right)^{-\frac{2}{9}} \\ =2^{9 \times \frac{-2}{9}} \left[\left(\mathbf{a}^{\mathrm{b}}\right)^{\mathrm{c}}=\mathrm{a}^{\mathrm{b} \mathrm{c}}\right] \\ =\mathbf{2}^{-2} \\ =\frac{1}{4}\end{array} \)