2 and 3 do not add up to 8, so 2 raised to 3 does not fit in your pattern.

Your comment on this answer:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

To avoid this verification in future, please log in or register.

0 votes

answer is 5^7 = 78125
i.e.
if you follow trend
1=1^2
8=2^3
243=3^5
256=4^4
the bases are counting numbers 1,2,3,....
the exponent also follows the increasing order but is never even if the base is not even.
so the next must be 5^7= 78125.

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

To avoid this verification in future, please log in or register.

0 votes

answer is 5^6=15625
i.e
1^4=1
2^3=8
3^5=243
4^4=256
5^6=15625
power of this series are 4,3,5,4,6.
relation in power is -1 and +2.
4-1=3
3+2=5
5-1=4
4+2=6