Question

what ia the unit digit of 3 to the power of 34​

Answer 1

Answer:

4

Step-by-step explanation:

for (34)^3 , you need to find the given power (here cube) for the specified number's unit digit (here 4) ...

(4)^3 = 4×4×4 =64.

It's unit digit(4 of 64) will be same as the unit digit of the original given number's power (34)^3.

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Answer 2

Answer:

The unit digit of $3$ to the power $34$ will be $9 .$

Step-by-step explanation:

Given:

The unit of $3$ to the power $34$ .

To find:

The unit digit of the given digit..

Step 1

We know that,

$&3^{1}=3$

$&3^{2}=9$

$&3^{3}=27$

$&3^{4}=81$

$&3^{5}=243$

Step 2

Consider that, the units digit repetitions after the index of $4 .$

Divide $4$ by $34 .$

$\frac{34}{4}=8 \frac{2}{4}$

Therefore, the remainder remains $2$ which implies, $3^{2}=9$

Thus, the unit digit of $3$ to the power $34$ will be $9 .$

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