Posted by **Sally** on Wednesday, February 15, 2012 at 7:52am.

Is 4^33 + 3^44 divisible by 5?

Please help ASAP. This is due tomorrow. Thank you very much :)

- Math -
**Reiny**, Wednesday, February 15, 2012 at 8:31am
yes

look at powers of 4

4^1 = 4

4^2 = 16

4^3 = 64

4^4 =256

....

every even indexed power ends in 6, every odd indexed power ends in 4

so 4^33 ends in 4

now look at the powers of 3

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

...

the answers end in 3 9 7 1 3 9 7 1 ...

even exponents end in either 9 or 1

if the even exponent is also a multiple of 4, the answer ends in a 1

so 3^44 will end with a 1

so if we add a number ending in 4 to a number ending in 1

we get a number ending in 5 which is divisible by 5

## Answer This Question

## Related Questions

- math - my msth finals are tomorrow! please help ASAP. it is applying properties ...
- math. need help asap!!!!! - What's 0.8, and 1.1 as mixed numbers. What's 1 1/2, ...
- Math PLEASE HELP!!! - Which of the following is false? a. A number that is ...
- math - my sun in thea 1st grade me no understand to much english i need very ...
- Math - The question is this: You know that a number is divisible by 6 if it is ...
- MATH 1 QUESTION VERY HARD PLS HELP ASAP!!!!! - PLEASE HELP ASAP!!!!! i dont know...
- Proofread 6-page Essay Due Tomorrow? - I realize this is very last minute. I ...
- PLEASE - PLEASE SOMEONE RESPOND TO MY QUESTION: Physics (12)! THIS QUESTION IS ...
- Physics - Can scientists from other countries change what physicists in the ...
- math - is 504 divisible by 2,4,6,8 is 111 divisible by 3,9 is 3,217 divisible by...

More Related Questions