query: Which is greater, $98^{99} $ or $ 99^{98}$?
positive_passages.docid: 26062
positive_passages.text: Given $a>b>2$ both positive integers, which of $a^b$ and $b^a$ is larger?
negative_passages.docid: 13429
negative_passages.text: Raising a decimal to a power of decimal?
negative_passages.docid: 2944
negative_passages.text: How many triples $(x,y,n)$ are there such that $x^n - y^n = 2^{100}$
negative_passages.docid: 55373
negative_passages.text: The difference between 0. and 0
negative_passages.docid: 139776
negative_passages.text: Divisibility tests and remainder mod $9,11,99,101,999,1001\,$ (casting out nines and elevens)
negative_passages.docid: 77866
negative_passages.text: Find $x$ in $4^x+6^x=9^x$
negative_passages.docid: 52970
negative_passages.text: Difference between "hundred", "a hundred", and "one hundred"?
negative_passages.docid: 152148
negative_passages.text: How to Compare powers without calculating?
negative_passages.docid: 63781
negative_passages.text: Is $1234567891011121314151617181920212223......$ an integer?
negative_passages.docid: 27249
negative_passages.text: How many digits does $2^{1000}$ contain?
negative_passages.docid: 53583
negative_passages.text: Why $e^x$ is always greater than $x^e$?
negative_passages.docid: 25299
negative_passages.text: What is the remainder when $2^{1990}$ is divided by $1990$?
negative_passages.docid: 150841
negative_passages.text: How to read this mathematics value: 10^9
negative_passages.docid: 142347
negative_passages.text: What is the highest power of $n$ in $(n^r-1)!$
negative_passages.docid: 68026
negative_passages.text: Why is the maximum value of an unsigned n-bit integer 2^n-1 and not 2^n?
negative_passages.docid: 61047
negative_passages.text: Find the coefficient of ${x^9}$ in the expansion of $ (1 + x)( 1 + x^2)( 1 + x^3)..(1 + x^{100})$
negative_passages.docid: 41051
negative_passages.text: How to show $e^{e^{e^{79}}}$ is not an integer