(3^10-3^9)/18

asked by guest
on Nov 17, 2024 at 11:39 am



You asked:

Evaluate the expression: \(\frac{{3}^{10} - {3}^{9}}{18}\)

MathBot Answer:

\[\frac{{3}^{10} - {3}^{9}}{18} = 2187\]

\[\begin{aligned}\frac{{3}^{10} - {3}^{9}}{18}& = \left(3^{10} - 3^{9}\right) \cdot \frac{1}{18}\\& = \left(59049 - 3^{9}\right) \cdot \frac{1}{18}\\& = \left(59049 - 19683\right) \cdot \frac{1}{18}\\& = \frac{39366}{18}\\& = 2187\end{aligned}\]

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