2019 AMC 10A Problems/Problem 1

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 $\boxed{\textbf{(C) }2}$

2019 AMC 10A (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
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All AMC 10 Problems and Solutions

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2019 AMC 10A Problems/Problem 1

Problem 1

Solution

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