Question

If the power of 9 of any index, then the repetition of units digit is

Answer 1

Step-by-step explanation:

here 9 of any index = 1 and 9

Answer 2

Given: If the power of 9 of any index.

To find: the repetition of units digit.

Solution:

In mathematics the expression or a number that is written as a base number with an exponent is called as power.

Here the factor is 9 which is the base number of any index.

$\[\begin{array}{l}{9^1} = 9\\{9^2} = 81\\{9^3} = 729\end{array}\]$

Observe that, the unit digit repeats itself at the index 3.

Therefore, the repeated unit’s digit after interval of 2 such that every 3th term has same unit’s place.