# How do you simplify 27^(-1/3)?

We know, ${a}^{-} 1 = \frac{1}{a}$ [ laws of indices]
So, ${27}^{- \frac{1}{3}} = \frac{1}{27} ^ \left(\frac{1}{3}\right) = \frac{1}{{3}^{3}} ^ \left(\frac{1}{3}\right) = \frac{1}{3}$