1) 24^(k+1) = (6*4)^(k+1) =
128*4^(k-1) * 6^(k-2) 2⁷ * 4^(k-1) * 6^(k-2)
= 6^(k+1) * 4^(k+1) = 6^(k+1-k+2) * 4^(k+1-k+1) =
2⁷ * 4^(k-1) * 6^(k-2) 2⁷
= 6³ * 4² = (2*3)³ * (2²)² = 2³ * 2⁴ * 3³ = 2⁷ * 3³ = 3³ =27
2⁷ 2⁷ 2⁷ 2⁷
2) 4^(4k+5) * (1/3)^(-2-2k) = 4^(4k+5) * (3⁻¹)^(-2-2k) =
48^(2k+2) (4² * 3)^(2k+2)
= 4^(4k+5) * 3^(2+2k) = 4^(4k+5-4k-4) * 3^(2+2k-2k-2) =
4^(4k+4) * 3^(2k+2)
=4¹ * 3⁰=4