(5)^1.5

asked by guest
on Nov 18, 2024 at 2:31 am



You asked:

Evaluate the expression: \({5}^{1.5}\)

MathBot Answer:

\[{5}^{1.5} = 5 \sqrt{5} \approx 11.18033988749894848204586834365638\]


\[\begin{aligned}{5}^{1.5}& = 5^{1 + \frac{5}{10}}\\& = 5^{1 + \frac{1}{2}}\\& = 5^{\frac{3}{2}}\\& = 5 \cdot \sqrt{5}\end{aligned}\]