lippj0228
12.01.2021 •
Mathematics
At a currency exchange rate, 3 U.S dollars can be exchanged for 5 Japanese Yin. How many U.S dollars will you receive for 1 Japanese Yin?
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Ответ:
The unit's digit of 39 raised to the 100th power is 9.
Step-by-step explanation:
The unit digit of 39 is 9.So, divide the power 100 by 9.⇒ 100/9 = 11 and (remainder = 1)
Now check the unit digits of multiples of 9.
= 9 ⇒ unit digit = 9
= 81 ⇒ unit digit = 1
= 729 ⇒ unit digit = 9
= 6561 ⇒ unit digit = 1
The unit digit repeats as 9 for odd power and 1 for even power.The remainder of 100/9 is 1, which is a odd number.Therefore, the unit digit of = 9