30^-.152

asked by guest
on Nov 20, 2024 at 2:35 am



You asked:

Evaluate the expression: \({30}^{-.152}\)

MathBot Answer:

\[{30}^{-.152} = \frac{30^{\frac{106}{125}}}{30} \approx 0.59631752005252361792387229046099\]


\[\begin{aligned}{30}^{-.152}& = 30^{- \frac{152}{1000}}\\& = 30^{- \frac{19}{125}}\\& = \frac{1}{30^{\frac{19}{125}}}\\& = \frac{1}{30} \cdot 30^{\frac{106}{125}}\end{aligned}\]