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)