Question

Match the expressions that are equivalent.(5 points)

2^2/2^3

(2^2)^3

2^8×2^−3

2^−2×2^−3

2^3/2^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

2^2/2^3 = 1/2

(2^2)^3 = 4^3 = 64

2^8×2^−3 = 2^5 = 32

2^−2×2^−3 = 2^(-5) = 1/32

2^3/2^2 = 2^1 = 2

Therefore, the equivalent expressions are:
2^2/2^3 = 1/2 = 2^(-1)
(2^2)^3 = 64
2^8×2^−3 = 2^5 = 32
2^−2×2^−3 = 2^(-5) = 1/32
2^3/2^2 = 2.