Difference between revisions of "1982 AHSME Problems/Problem 3"

Latest revision as of 23:06, 20 February 2019

Evaluate $(x^x)^{(x^x)}$ at $x = 2$ .

$\text{(A)} \ 16 \qquad \text{(B)} \ 64 \qquad \text{(C)} \ 256 \qquad \text{(D)} \ 1024 \qquad \text{(E)} \ 65,536$

Plugging in $2$ as $x$ gives $4^4$ , which is merely $\boxed{\text{(C)} \ 256 }$ .

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

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-Plugging in <math>2</math> as <math>x</math> results in <math>4^4</math>, which is merely <math>\boxed{256}</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}}