Question

The unit digit of 3^34 is​

Answer 1

Answer:

9 is the answer... as the unit place digit of 3 to the power of 1 is 3, to the power of 2 is 9.to the power of 3 is 7 ,to the power of 4 is 1 and it'll be repeated again in the same order.... so the unit place digit of 3 to the power of 34 is 9..6 years agoHelpfull: Yes(19) No(3)

Answer 2

Answer:

The unit digit of $3^{34}$ is $9$

Step-by-step explanation:

Given:

To find the unit digit of $3^{34}$

As we know

The unit digit of $3^0$ is $1$

The unit digit of $3^1$ is $3$

The unit digit of $3^2$ is 9

The unit digit of $3^3$ is 7

The unit digit of $3^4$ is 1

So the cycle repeats

The general form will be

The unit digit of $3^{4n+0}=1$

The unit digit of $3^{4n+1}=3$

The unit digit of $3^{4n+2}=9$

The unit digit of $3^{4n+3}=7$

Here the power is $34$ it can be expressed as $34=4(8)+2$

So as above mentioned the unit digit will be $9$