How do you predict the ones digit for the standard form of the number 7 to the 100 power?it's exponents

There is a pattern to this powers, if you use the base to the power of the index.

Like this:

1. 7^1=7


2. 7^2=49


3. 7^3=343


4. 7^4=2401


5. 7^5= 16807

As you can see, there is a pattern of 7,9,3,1 in the ones digit as it progress to the 100th power. For the power of 4, the ones digit is simply one. And as what cburr said above, 100 can also be divided by the number 4 (100/4=25)

So, we can say the last digit (ones) for the 100th power would be 1