Doy 5 estrellas
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38)
(-32/243)^(-2/5) = ( (-2/3)^5 )^(-2/5) =
= (-2/3)^(-2) = 3^2/2^2 = 9/4
39)
3 a^2 b^(1/2) * 2 a^(-2) b(-1/2) =
= (3*2) a^(2-2) b^((1/2) - (1/2))
= 6 a^0 b^0
= 6
40)
(16000 x^7 y^5)^(1/3) =
= ( 2 * 8000 * x^6 * x * y^6 / y )^(1/3)
= ( 20^3 (x^2)^3 (y^2)^3 ) ( 2 x / y )^(1/3)
= 20 x y * ∛( (2 x)/y )
41)
4 √3 - 5 √3 = (4 - 5) √3 = (-1) √3
42)
7 √(450) = 7 √(225*2) = 7 * 15 √2 = 105 √2
4 √320 = 4 √(64*5) = 4*8 √5 = 32 √5
3 √80 = 3 √(16*5) = 3*4 √5 = 12 √5
5 √800 = 5 √(400*2) = 5*20 √2 = 100 √2
7 √(450) - 4 √320 + 3 √80 5 - √800 =
= 105 √2 - 32 √5 + 12 √5 - 100 √2
= 5 √2 - 20 √5
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Answers & Comments
Espero ayudarte
??
Hola me podes ayudar en mi tarea?
Hola
38)
(-32/243)^(-2/5) = ( (-2/3)^5 )^(-2/5) =
= (-2/3)^(-2) = 3^2/2^2 = 9/4
39)
3 a^2 b^(1/2) * 2 a^(-2) b(-1/2) =
= (3*2) a^(2-2) b^((1/2) - (1/2))
= 6 a^0 b^0
= 6
40)
(16000 x^7 y^5)^(1/3) =
= ( 2 * 8000 * x^6 * x * y^6 / y )^(1/3)
= ( 20^3 (x^2)^3 (y^2)^3 ) ( 2 x / y )^(1/3)
= 20 x y * ∛( (2 x)/y )
41)
4 √3 - 5 √3 = (4 - 5) √3 = (-1) √3
42)
7 √(450) = 7 √(225*2) = 7 * 15 √2 = 105 √2
4 √320 = 4 √(64*5) = 4*8 √5 = 32 √5
3 √80 = 3 √(16*5) = 3*4 √5 = 12 √5
5 √800 = 5 √(400*2) = 5*20 √2 = 100 √2
7 √(450) - 4 √320 + 3 √80 5 - √800 =
= 105 √2 - 32 √5 + 12 √5 - 100 √2
= 5 √2 - 20 √5