■ What's the final digit of 7^100? | Modular Arithmetic Q2

Find out how to use Modular Arithmetic to answer the question: What's the final digit of 7^100?
Whilst it looks like an intimidating question, modular arithmetic makes it much more straight forward!
Introduction to modular arithmetic video (Watch this first!):
• ■ What is Modular Arit...
Find the rest of the videos in this intro to modular arithmetic mini-series here:
• ► Modular Arithmetic m...
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[@rakshitrandhawa2791]

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[@Pugboy35Man]

Great video with amazing explanation, I'm just wondering what you do if you have a odd number for example 9^59

[@Problematica.]

in the case of 9 odd exponent ends in 9 even in 1

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[@Problematica.]

7^4 last figure 1. 7^100=(7^4)25 last figure 1

[@jkdisiJzjzndnLskz]

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[@muhammadfirdaus7278]

how would you do 2^2019 last digit with this method?

[@Problematica.]

2^4 last digit 6 ((2^4)^500)*((2^4)^4)*2^3 Last digit (modular congruence) 6*6*8 Last digit 8

[@ARUNPrasath-mp8fg]

Last two digits

[@Problematica.]

Find the last three digits of the number 19^97

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