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2021 April MIMC 10 Problems/Problem 1

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What is the sum of $2^{3}-(-3^{4})-3^{4}+1$ ?

$\textbf{(A)} ~-155 \qquad\textbf{(B)} ~-153 \qquad\textbf{(C)} ~7 \qquad\textbf{(D)} ~9 \qquad\textbf{(E)} ~171$

Solution

By order of operations, we get that the expression is equal to $8-(-81)-81+1=8+81-81+1=\fbox{\textbf{(B)} 9}$ .

??? Answer choice D is 9

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