Arrange the following numbers in ascending order: .
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Arrange the following numbers in ascending order:
35,53,92.
(i) Express each number, wherever convenient, as a power of a smaller positive integer base so that the exponents become easier to compare.
(ii) Compare the three numbers systematically and list them in ascending order, providing detailed reasoning for each comparison made.
(iii) Verify your final ordering by raising each number to a common positive exponent of your choice and re-comparing the results obtained.