5(1/2)^(150/1620)

asked by guest
on Nov 26, 2024 at 11:46 am



You asked:

Evaluate the expression: \(5 {\left( \frac{1}{2} \right)}^{\frac{150}{1620}}\)

MathBot Answer:

\[5 {\left( \frac{1}{2} \right)}^{\frac{150}{1620}} = \frac{5 \cdot 2^{\frac{49}{54}}}{2} \approx 4.68917948818174471107839960136197\]

\[\begin{aligned}5 {\left( \frac{1}{2} \right)}^{\frac{150}{1620}}& = 5 \cdot \left(\frac{1}{2}\right)^{\frac{150}{1620}}\\& = 5 \cdot \frac{1}{2} \cdot 2^{\frac{49}{54}}\\& = \frac{5}{2} \cdot 2^{\frac{49}{54}}\end{aligned}\]

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