Difference between revisions of "2002 AMC 10P Problems/Problem 8"

(Problem 8)
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== Problem 8 ==
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== Problem ==
  
 
How many ordered triples of positive integers <math>(x,y,z)</math> satisfy <math>(x^y)^z=64?</math>
 
How many ordered triples of positive integers <math>(x,y,z)</math> satisfy <math>(x^y)^z=64?</math>

Revision as of 17:45, 14 July 2024

Problem

How many ordered triples of positive integers $(x,y,z)$ satisfy $(x^y)^z=64?$

$\text{(A) }5 \qquad \text{(B) }6 \qquad \text{(C) }7 \qquad \text{(D) }8 \qquad \text{(E) }9$

Solution 1

See also

2002 AMC 10P (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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
All AMC 10 Problems and Solutions

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