# Math Multiple Choice

For positive integers *a* and *b,* let *a* *b* be defined as *a ^{b }*

^{+1}. If

*x*and

*y*are positive integers and

*x*

*y*= 16, which of the following could be a value of

*y*?

I. | 1 |

II. | 2 |

III. | 3 |

(A) I only

(B) II only

(C) I and III only

(D) II and III only

(E) I, II, and III

(from the October 16, 1999 test)