Track / Stage 4 / 14 of 340 #274 of 2000

Problem 274

AMC 12 late, AIME early

Algebra Difficulty 4.5 Find the answer

$1 \cdot 2^{\left(0^{(19)}\right)}+\left(\left(2^{0}\right)^{1}\right)^{9}=(\quad) .$
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

Your answer

Official solution

1. C.
$\begin{array}{l} 2^{\left(0^{\left(1^{9}\right)}\right)}+\left(\left(2^{0}\right)^{1}\right)^{9}=2^{\left(0^{1}\right)}+\left((1)^{1}\right)^{9} \\ =2^{0}+1=2 . \end{array}$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.