What is the last digit of 6 power 100

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How would we go about finding the last digit of very large numbers, such as? A problem like this can be tackled by listing out the initial expansions of a power in order to determine a pattern. Then, by proving that this pattern holds often by induction , the last decimal digit of a power can be solved completely. For example, the last digit of various powers of 1 to 9 are:. The last digits of the powers of two repeat in a cycle of 2, 4, 8, 6. Dividing by 4 we get with no remainder.

What is the last digit of 6 power 100

We will first try to understand what is a units digit, then we will look at the technique to find the units digit of large powers and then using this technique we will solve some problems on Units digit of a number raised to power. At the end, please take the QUIZ to test your understanding. For example, the units digit of is 3, the units digit of 39 is 9. But then what is the units digit of large numbers like 23 to the power 46 or what is the units digit of to the power of ? Here, it is not straight forward to calculate the units digit of these numbers. So lets have a look at the technique to calculate the units digit of large numbers. One of the ways of finding the units digit of a power is by finding the remainder when that number is divided by Example 1 : What is the units digit of to the power of ? Example 3: what is the units digit in the expansion raised to 71? We hope that you now have a good idea on how to find the units digit of a number raised to power.

Cite as: Finding the Last Digit of a Power. The set of last digits of powers forms a periodic sequence with periods given by the table below:.

Last Two digits: The objective of this article is to understand the concept and approach to solve questions like:. There are two-three shortcut approaches to solve the above problems. But before we go and apply the same, we need to understand the following basic points. The prerequisite is to memorise the square of the first 25 natural numbers. Now, number 78 is close to and the deviation of 78 from is 22 From the above examples, we can deduce that the if the number is close to or 50, the last two digits of the square of the number is equal to the last two digits of the square of the deviation of the number from the base or 50 whichever the number if close to.

In Quantitative aptitude questions ask to find the last digit and last two digits of a power or large expressions. In this article explained different types of tools to serve as shortcuts to finding the last digits of an expanded power. From the above table we can observe as follow. Examples — 1 : Find last digit of the number 3 So from the above table unit digit of given number is — 7. Examples — 2: Find last digit of the number Solution: Here power value is odd number.

What is the last digit of 6 power 100

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Cite as: Finding the Last Digit of a Power. Not only was there a change in exam pattern but also the difficulty level of almost. Join Now. Pattern Finding A problem like this can be tackled by listing out the initial expansions of a power in order to determine a pattern. Prashant Tiwari says:. Sign me up. Forgot password? New user? Last Two Digits of Large Number. Sign up Log in. Main article: Modular Arithmetic. Sign up with Facebook or Sign up manually. Submit your answer Find the last 6 digits in decimal representation of. Existing user?

This is an online calculator for exponents. Calculate the power of large base integers and real numbers. You can also calculate numbers to the power of large exponents less than , negative exponents, and real numbers or decimals for exponents.

Cite as: Finding the Last Digit of a Power. Example 1 : What is the units digit of to the power of ? October 5, at pm. CAT Online Course at affordable price. Leave a comment Cancel reply. Last digit of 7 Like Like. A problem like this can be tackled by listing out the initial expansions of a power in order to determine a pattern. In general, the last digit of a power in base n is its remainder upon division by n. Hi, Anything to zero power is 1. Here, it is not straight forward to calculate the units digit of these numbers. Like Like.