Multiply in the indicated base

144 and 5 x 43 and 5

You could change to base 10 and then convert your answer.

1445= 1(5^2) + 4(5) + 4 = 49
43 = 4(5)+3 = 23

49x23 = 1127
1127 = 1(625) + 4(125) + 0(25) + 0(5) + 2
= 140025

or

create a multiplication table in base 5

x 1 2 3 4
1 1 2 3 4
2 2 8 11 13
3 3 11 14 22
4 4 13 22 31

so
144
x43
---------
1042
1242
------
14002