(2a³b²)⁴*(5a⁴b)
simplifying the first term we shall have:
(2a³b²)⁴
=2⁴a³*⁴b²*⁴
simplifying this we get:
16a¹²b⁸
Next we multiply both terms
16a¹²b⁸×5a⁴b
simplifying this we get:
(16×5)(a¹²×a⁴)(b³×b)
not that when you multiply number with same base, you add their powers:
thus we shall have
=80(a¹²⁺⁴)(b³⁺¹)
=80a¹⁶b⁴
Answer:
80a¹⁶b⁴