Question

What is the base of the expression 11¹2?
3
11
12
21

Answer 1

The base is most likely 11.

Explanation:

In base 10, which is the base that we use, numbers are expressed as sums of powers of 10. For example, 1524 can be expressed as
`10^3 + 5\cdot10^2 + 2\cdot10^1 + 4`.

When you write a number in base
`b`, numbers are expressed in the form
`a_1\cdot b^n+a_2\cdot b^(n-1) + \cdots +a_n \cdot b^1 + a_(n+1)`. Since the given number is written as
`11^1 + 2` (or at least I am assuming it is), it would be best to conclude that the base is 11.