the last two digits of 5 to the 347th power

5^1= 5
5^2 =25
5^3=125
5^4=625
5^5=3125
5^6=15625

do you see a pattern?

5 raised to anything greater than or equal to 2 will end in 25.

each answer is multiplied by five to get to the next answer

To find the pattern in the last two digits of 5 raised to different powers, we can observe that the last two digits cycle in a repeating pattern. The last two digits of 5 raised to the power of 2 are 25, the last two digits of 5 raised to the power of 3 are 125, and so on.

The pattern is that when 5 is raised to any power greater than or equal to 2, the last two digits will always be 25. Therefore, if we want to find the last two digits of 5 raised to the power of 347, we can apply this pattern.

Since 347 is greater than or equal to 2, the last two digits will be 25. Therefore, the last two digits of 5 raised to the power of 347 are 25.