Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The video discusses identifying a common divisor for the smallest and largest "powerless" two-digit numbers, which are defined as numbers whose digits cannot be expressed as an integer raised to a power greater than one. Digits that are such powers are 0, 1, 4, 8, and 9. Therefore, the eligible digits for powerless numbers are 2, 3, 5, 6, and 7. The smallest powerless number is 22, and the largest is 77. The common divisor of these two numbers is 11. Thus, the answer is 11.

Keywords

powerless numbers

common divisor

two-digit numbers

eligible digits

mathematics