The problem is to evaluate the given exponents: a) $11^2$ b) $4^4$ c) $8^3$ d) $(\frac{4}{9})^2$ e) $0.8^2$ f) $0.2^4$

1. Problem Description

The problem is to evaluate the given exponents:

a) $11^2$

b) $4^4$

c) $8^3$

d) $(\frac{4}{9})^2$

e) $0.8^2$

f) $0.2^4$

2. Solution Steps

a) $11^2 = 11 * 11 = 121$

b) $4^4 = 4 * 4 * 4 * 4 = 16 * 16 = 256$

c) $8^3 = 8 * 8 * 8 = 64 * 8 = 512$

d) $(\frac{4}{9})^2 = \frac{4}{9} * \frac{4}{9} = \frac{4*4}{9*9} = \frac{16}{81}$

e) $0.8^2 = 0.8 * 0.8 = 0.64$

f) $0.2^4 = 0.2 * 0.2 * 0.2 * 0.2 = 0.04 * 0.04 = 0.0016$

3. Final Answer

a) $11^2 = 121$

b) $4^4 = 256$

c) $8^3 = 512$

d) $(\frac{4}{9})^2 = \frac{16}{81}$

e) $0.8^2 = 0.64$

f) $0.2^4 = 0.0016$