a^m a^n = a^(m + n)
Power: constant radix, exponential multiplication
(a n) m = a (Mn), m a n times.
(a n) (1/m) = a (n/m), 1/m A n times.
Product power:
(b)^n = a^n b^n
(m^a n^b)^c = m^(ac) n^(bc
For your three questions:
The first question is the power: (103) 5 =10 (3.5) =10/5.
The second question is the power of the product: (2a) 3 = 2 3a 3 = 8a 3.
The third problem is the mixture of power and product: make the product first and then make the power.
(10 y 2) 2
= x 2 (y 2) 2, the power of product: (ab) n = a n b n
= x 2 y 4, power: (a m) n = a (Mn)