2019 AMC 10A Problems/Problem 1

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Problem

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

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

Solution

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

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

Video Solution 1

https://youtu.be/K8je0WYBHFc

Education, The Study Of Everything


Video Solution 2

https://youtu.be/Ad8WKcwZcTA

~savannahsolver

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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