How do you find the tens digit of an exponent?
Finding the tens place digit of any number with unit digit equal to 1. Say we need to find the last two digits of 3176 . The trick to finding the second last digit of any number ending with 1 is the UNIT DIGIT of the product of the unit digit of the power and the ten’s digit of the base.
What is the last digit of 5 raised to the power of 2020?
Answer: the last digit of 5 to the power of 2020 is 25 because 5^6=78125 you will observe that any number will have 25 as the last two digits.
What is the last digit of the power of 9?
Hint: The last digit of any number having “9” then power having even number then unit place comes 1 and power having odd number then unit place comes 9 Hint: Here the pattern of the last digits are 1 , 3, 9, 7, 1, 3 , 9 , 7 . . . . . . . for the powers 4x , 4x+1 , 4x+2 , 4x+3 . . . . . respectively.
What is the units digit of large numbers raised to power?
Units digit of Large Numbers – number raised to power. One of the ways of finding the units digit of a power is by finding the remainder when that number is divided by 10. Another general and one of the easier ways to find the units digit of a number in the form xy, is done with the help of the following steps: Identify the units digit in…
How do you find the last digit of an expanded power?
However, there are a number of tools, such as modular arithmetic, the Chinese remainder theorem, and Euler’s theorem that serve as shortcuts to finding the last digits of an expanded power. Solving these types of problems gives a down-to-earth introduction to these techniques of elementary number theory.
What is the unit digit of (3 power 2011)?
Bellow is a table with the power and the unit digit of 3 to that power. Using this table you can see that the unit digit can be 1, 3, 9, 7 and the sequence repeats in this order for higher powers of 3. Using this logic you can find that the unit digit of (3 power 2011) is 7.