Объяснение:
а) 3 ³√64 + 4 ⁵√(-32) + ⁴√256 =
= 3 ³√(4)³ + 4 ⁵√(-2)⁵ + ⁴√(4)⁴ =
= 3*4 + 4*(-2) + 4 = 4 ( 3-2+1 ) = 3*2 = 6
б) ( 1/4² * 81^(-1)) ^(-1/4) =
= (1/4² * 1/81) ^ (-1/4) =
= 1 / (1/4² * 1/81)^(1/4)=
= 1/ ⁴√(1/(4²*81)) =
= 1/ ⁴√(1/(2⁴*3⁴)) =
= 1/ (1/(2*3)) = 1 / (1/6) = 1 * 6/1 = 6
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Answers & Comments
Объяснение:
а) 3 ³√64 + 4 ⁵√(-32) + ⁴√256 =
= 3 ³√(4)³ + 4 ⁵√(-2)⁵ + ⁴√(4)⁴ =
= 3*4 + 4*(-2) + 4 = 4 ( 3-2+1 ) = 3*2 = 6
б) ( 1/4² * 81^(-1)) ^(-1/4) =
= (1/4² * 1/81) ^ (-1/4) =
= 1 / (1/4² * 1/81)^(1/4)=
= 1/ ⁴√(1/(4²*81)) =
= 1/ ⁴√(1/(2⁴*3⁴)) =
= 1/ (1/(2*3)) = 1 / (1/6) = 1 * 6/1 = 6