Problem 3.1: Are the following statements true sometimes, always, or never for a, b, c, d, k, l > 0?
a) (a + b)² = a² + b²
b) ca² + da² = (c + d )a²
c) a^ka^l = a^k+l
d) a^ka^l = a^kl
e) (a^k)^l = a^kl
f) a^-2 < 1 [Solution]

Problem 3.2: 3x^-4 -6x^-4 =? [Solution]

Problem 3.3: 3x²(5x⁴) =? [Solution]

Problem 3.4:

=? [Solution]

Problem 3.5: (5x²)⁴ =? [Solution]

Problem 3.6: 5(3x)² =? [Solution]

Problem 3.7: 3x^a(x³) =? [Solution]

Problem 3.8: (2x⁵)^a [Solution]

Problem 3.9: Write 25⁶ and 125² as quantities with a common base. [Solution]