3^15-24.3^12

asked by guest
on Oct 22, 2024 at 10:50 am



You asked:

Evaluate the expression: \({3}^{15} - {24.3}^{12}\)

MathBot Answer:

\[{3}^{15} - {24.3}^{12} = - \frac{42391158260867296514294433201}{1000000000000} = -42391158260867296.514294433201\]

\[\begin{aligned}{3}^{15} - {24.3}^{12}& = 3^{15} - \left(24 + \frac{3}{10}\right)^{12}\\& = 14348907 - \left(24 + \frac{3}{10}\right)^{12}\\& = 14348907 - \left(\frac{243}{10}\right)^{12}\\& = 14348907 - \frac{42391158275216203514294433201}{1000000000000}\\& = - \frac{42391158260867296514294433201}{1000000000000}\end{aligned}\]

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