已知2^a=7,8^b=6,求(2^a+3b)^2

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已知2^a=7,8^b=6,求(2^a+3b)^2
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已知2^a=7,8^b=6,求(2^a+3b)^2
已知2^a=7,8^b=6,求(2^a+3b)^2

已知2^a=7,8^b=6,求(2^a+3b)^2
2^a=7,8^b=6=2^3b
(2^a+3b)^2
=(2^a×2^3b)²
=(7×6)²
=42×42
=1764

(2^a+3b)^2
=[2^a*2^(3b)]^2
=[2^a*(2^3)^b]^2
=[2^a*8^b]^2
=[7*6]^2
=42^2
=1764
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