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You can tell by the nature of this question that it is expecting you to see a pattern in the tens column wen raising powers of five, and not to actually calculate the value of 574.
So let's take a look:
52 = 25
53 = 125
54 = 625
56 = 3125
...
As you can see, the last two digits are always "25", so the answer to your question is 2.
The reason the last two digits are always 25 is because of the effect multiplication has on the number. Consider: 5 * 25 = 125. No matter what happens to any digits to the left of those, the last two will always be 25 as a result.
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What is the tens digit of the product of 2005 to the fifth power and 5 to the 2005 power?
It is 2.
What 3 digit number has a tens digit that is 5 more than the ones digit and a hundreds digit that is 8 less than the tens digit?
194
You are a 3 digit number my hunreds digit is 8 les than your tens digit my tens digit is 5 more than your ones digit what number are you?
194
What is a digit in the tens place of 9838106255?
5
Whose ones digit is 5 more than its tens digit?
Oh, isn't that a happy little math problem! If we have a number where the ones digit is 5 more than the tens digit, we can create a beautiful equation like this: Let's say the tens digit is "x", then the ones digit would be "x + 5". So, the number would be 10x + (x + 5). Happy solving, my friend!
