2019 AMC 10A Problems/Problem 1

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Problem 1

What is the value of \[2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9?\] $\textbf{(A) } 0 \qquad\textbf{(B) } 1 \qquad\textbf{(C) } 2 \qquad\textbf{(D) } 3 \qquad\textbf{(E) } 4$

Solution

The first part can be rewritten as \[2^{0^{1}}=2^{0}=1\] The second part is \[(1^{1})^{9}=1^{9}=1\] Adding these up gives $\textbf{(C) }2$

See Also

2019 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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All AMC 10 Problems and Solutions

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