(-81)^(4)-9^(7)+6⋅(-3)^(13)-27⋅(-9^(2))^(3)

asked by guest
on Nov 14, 2024 at 8:25 am



You asked:

Evaluate the expression: \({\left( -81 \right)}^{4} - {9}^{7} + 6 \cdot {\left( -3 \right)}^{13} - 27 \cdot {\left( -{9}^{2} \right)}^{3}\)

MathBot Answer:

\[{\left( -81 \right)}^{4} - {9}^{7} + 6 \cdot {\left( -3 \right)}^{13} - 27 \cdot {\left( -{9}^{2} \right)}^{3} = 43046721\]

\[\begin{aligned}{\left( -81 \right)}^{4} - {9}^{7} + 6 \cdot {\left( -3 \right)}^{13} - 27 \cdot {\left( -{9}^{2} \right)}^{3}& = \left(-81\right)^{4} - 9^{7} + 6 \cdot \left(-3\right)^{13} - 27 \cdot \left(- 9^{2}\right)^{3}\\& = 43046721 - 9^{7} + 6 \cdot \left(-3\right)^{13} - 27 \cdot \left(- 9^{2}\right)^{3}\\& = 43046721 - 4782969 + 6 \cdot \left(-3\right)^{13} - 27 \cdot \left(- 9^{2}\right)^{3}\\& = 43046721 - 4782969 + 6 \cdot -1594323 - 27 \cdot \left(- 9^{2}\right)^{3}\\& = 43046721 - 4782969 - 9565938 - 27 \cdot \left(- 9^{2}\right)^{3}\\& = 43046721 - 4782969 - 9565938 - 27 \cdot \left(- 81\right)^{3}\\& = 43046721 - 4782969 - 9565938 - 27 \cdot \left(-81\right)^{3}\\& = 43046721 - 4782969 - 9565938 - 27 \cdot -531441\\& = 43046721 - 4782969 - 9565938 - -14348907\\& = 43046721 - 4782969 - 9565938 + 14348907\\& = 38263752 - 9565938 + 14348907\\& = 28697814 + 14348907\\& = 43046721\end{aligned}\]

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