2019 AMC 10A Problems/Problem 1

Problem

What is the value of $2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9?$

$\textbf{(A) } 0 \qquad\textbf{(B) } 1 \qquad\textbf{(C) } 2 \qquad\textbf{(D) } 3 \qquad\textbf{(E) } 4$

$2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9$

$= 1+1 = \boxed{2}$ which corresponds to $\boxed{\text{C}}$ .

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2019 AMC 10A (Problems • Answer Key • Resources)
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