Question
Match the expressions that are equivalent.
2^3/2^2
(2^2)^3
2^−2×2^−3
2^2/2^3
2^8×2^−3
1/2, 1/32, 1/64, 32, 64, 2
2^3/2^2
(2^2)^3
2^−2×2^−3
2^2/2^3
2^8×2^−3
1/2, 1/32, 1/64, 32, 64, 2
Answers
GPT 3.5
2^3/2^2 = 2^1 = 2
(2^2)^3 = 2^6 = 64
2^−2×2^−3 = 1/2^2 x 1/2^3 = 1/4 x 1/8 = 1/32
2^2/2^3 = 2^(-1) = 1/2
2^8×2^−3 = 2^5 = 32
Equivalent expressions: 2, 64, 1/32, 1/2, 32
(2^2)^3 = 2^6 = 64
2^−2×2^−3 = 1/2^2 x 1/2^3 = 1/4 x 1/8 = 1/32
2^2/2^3 = 2^(-1) = 1/2
2^8×2^−3 = 2^5 = 32
Equivalent expressions: 2, 64, 1/32, 1/2, 32