2019 AMC 10A Problems/Problem 1

Problem

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

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

Solution

$2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9=  1+1 = \boxed{\textbf{(C) } 2}$.

Video Solution by Education, the Study of Everything

https://youtu.be/K8je0WYBHFc

~Education, The Study Of Everything

Video Solution by WhyMath

https://youtu.be/Ad8WKcwZcTA

~savannahsolver

Video Solution by T2L Academy

https://youtu.be/OhCy9c2RTFo?si=UPgBHbW5Bn0yxP1s

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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