1. The problem asks to write each expression as a single power of 2. 2. Recall the exponent rules: - $a \times 2^b = 2^{\log_2(a)} \times 2^b = 2^{\log_2(a) + b}$ if $a$ is a power of 2. - $(2^m)^n = 2^{m \times n}$. - $(2^m)^{-1} = 2^{-m}$. 3. Solve each part: a) $2 \times 2^a = 2^1 \times 2^a = 2^{1+a}$. b) $4 \times 2^b = 2^2 \times 2^b = 2^{2+b}$. c) $8 \times 2^t = 2^3 \times 2^t = 2^{3+t}$. d) $(2^{x+1})^2 = 2^{(x+1) \times 2} = 2^{2x+2}$. e) $(2^{1-n})^{-1} = 2^{-(1-n)} = 2^{n-1}$. Final answers: a) $2^{1+a}$ b) $2^{2+b}$ c) $2^{3+t}$ d) $2^{2x+2}$ e) $2^{n-1}$