Question

Match the expressions that are equivalent.(5 points)

2^8×2^−3

2^3/2^2

2^−2×2^−3

2^2/2^3

(2^2)^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

2^8×2^−3 = 2^(8-3) = 2^5

2^3/2^2 = 2^(3-2) = 2^1 = 2

2^−2×2^−3 = 2^(-2-3) = 2^(-5) = 1/2^5 = 1/32

2^2/2^3 = 2^(2-3) = 2^(-1) = 1/2

(2^2)^3 = 2^(2*3) = 2^6 = 64

Equivalent expressions:
2^8×2^−3 = (2^2)^3 = 64
2^3/2^2 = 2
2^−2×2^−3 = 1/32
2^2/2^3 = 1/2