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What Is the Last Digit of 3 Raised to the Power of 10?
What is the units digit (last digit) of 3 raised to the power of 10?
People also ask
What is the answer to the last digit of 3 to the 10th power riddle?
The units digit of 3^10 is 9. The full value is 59,049, and its last digit is 9.
How do you find the last digit of a power of 3 without a calculator?
The last digits of powers of 3 repeat in a cycle of four: 3, 9, 7, 1. Since 10 divided by 4 leaves a remainder of 2, you land on the 2nd value in the cycle, which is 9.
Why do the last digits of powers of 3 form a pattern?
Each time you multiply by 3, only the previous units digit affects the new units digit, so the sequence loops every four steps: 3, 9, 7, 1, then repeats.