Question

unit place digit of 15 power 550​

Answer 1

To find:

Units place digit of $15^{550}$

Step-by-step explanation:

• We can find the units place digit by expressing 550 as a multiple of 2. Here, 550 = 2 × 275.

• Here, $15^{2}=225$ has 5 in its units place. Thus when taken its powers any number of times, we will have 5 in its units place.

• Remember that, any $5^{n}$ has 5 in its units place.

• $15^{550}=15^{2\times 275}=(15^{2})^{275}$

Final answer:

The digit in units place of $15^{550}$ is 5.

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