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