1956 AMC 12 Problem 1

Attempt Problem 1 of the 1956 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1956 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

The value of

x+x(x^x)

when

x=2

is:

10

16

18

36

64

Evaluate the exponent

x^x

before doing the multiplication

x=2,

the second term is

2(2^2)

Substituting

x=2,

and evaluating the exponent first, gives

\begin{aligned} x+x(x^x)&=2+2(2^2)\\ &=2+8=10. \end{aligned}

Thus, the correct answer is A.

Problem 1 in other years