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Question
The value of `(10^22 + 10^20)/10^20` is ______.
Options
10
1042
101
1022
Solution
The value of `(10^22 + 10^20)/10^20` is 101.
Explanation:
We can write the given expression as
`10^22/10^20 + 10^20/10^20` = 1022–20 + 1 ......`[∵ a^m/a^n = a^(m-n), m > n]`
= 102 + 1
= 10 × 10 + 1
= 100 + 1
= 101
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