2-4|-4+3|+(-2)⁴

asked by guest
on Jan 21, 2025 at 11:38 pm



You asked:

Evaluate the expression: \(2 - 4 \cdot \left\lvert -4 + 3\right\rvert + {\left( -2 \right)}^{4}\)

MathBot Answer:

\[2 - 4 \cdot \left\lvert -4 + 3\right\rvert + {\left( -2 \right)}^{4} = 14\]

\[\begin{aligned}2 - 4 \cdot \left\lvert -4 + 3\right\rvert + {\left( -2 \right)}^{4}& = 2 - 4 \cdot \left|{-4 + 3}\right| + \left(-2\right)^{4}\\& = 2 - 4 \cdot \left|{-1}\right| + \left(-2\right)^{4}\\& = 2 - 4 \cdot 1 + \left(-2\right)^{4}\\& = 2 - 4 + \left(-2\right)^{4}\\& = 2 - 4 + 16\\& = -2 + 16\\& = 14\end{aligned}\]

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