8x(1.5)^16

asked by guest
on Nov 28, 2024 at 7:33 am



You asked:

Evaluate the expression: \(8 \cdot {1.5}^{16}\)

MathBot Answer:

\[8 \cdot {1.5}^{16} = \frac{43046721}{8192} = 5254.7266845703125\]

\[\begin{aligned}8 \cdot {1.5}^{16}& = 8 \cdot \left(1 + \frac{5}{10}\right)^{16}\\& = 8 \cdot \left(1 + \frac{1}{2}\right)^{16}\\& = 8 \cdot \left(\frac{3}{2}\right)^{16}\\& = 8 \cdot \frac{43046721}{65536}\\& = \frac{43046721}{8192}\end{aligned}\]

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