Question

the units place digit in (15)^550​

Answer 1

The unit place digit will be 5.

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Answer 2

The digit in the unit's place of $15^{550}$.

Given:

The number $15^{550}$.

To Find:

The digit in the unit's place of $15^{550}$.

Solution:

To find the digit in the unit's place of $15^{550}$ , we will first construct the cyclic table of 15.

                               Unit's place

$15^{1}$ = 15                         5

15² = 225                      5

15³ = 3375                    5

$15^{4}$ = 50625                 5

$15^{5}$ = 759375                5

The units digit pattern is 5, 5, 5, 5,.... .

We observe that 15 raised to any power gives us a number whose unit's digit is 5.

∴ The digit in the unit's place of $15^{550}$ is 5.

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