Difference between revisions of "1982 AHSME Problems/Problem 3"
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Sevenoptimus (talk | contribs) (Fixed page formatting) |
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− | Plugging in <math>2</math> as <math>x</math> | + | ==Problem== |
+ | |||
+ | Evaluate <math>(x^x)^{(x^x)}</math> at <math>x = 2</math>. | ||
+ | |||
+ | <math>\text{(A)} \ 16 \qquad | ||
+ | \text{(B)} \ 64 \qquad | ||
+ | \text{(C)} \ 256 \qquad | ||
+ | \text{(D)} \ 1024 \qquad | ||
+ | \text{(E)} \ 65,536 </math> | ||
+ | |||
+ | ==Solution== | ||
+ | |||
+ | Plugging in <math>2</math> as <math>x</math> gives <math>4^4</math>, which is merely <math>\boxed{\text{(C)} \ 256 }</math>. | ||
+ | |||
+ | ==See Also== | ||
+ | {{AHSME box|year=1982|num-b=2|num-a=4}} | ||
+ | |||
+ | {{MAA Notice}} |
Latest revision as of 00:06, 21 February 2019
Problem
Evaluate at
.
Solution
Plugging in as
gives
, which is merely
.
See Also
1982 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.