9. Efetue: a) 46^aa b) 3^8 / a^a c) (3^2 / 2^3)^(2/3) * (2^3 / 3^2)^(3/2) * (3^2 / 2^2)^(2/3) * (2^2 / 3^3)^(3/2) d) (3^2 / 2^2)^(2/2) * (3^3 / 2^...

9. Efetue:

a) 46^aa
b) 3^8 / a^a
c) (3^2 / 2^3)^(2/3) * (2^3 / 3^2)^(3/2) * (3^2 / 2^2)^(2/3) * (2^2 / 3^3)^(3/2)
d) (3^2 / 2^2)^(2/2) * (3^3 / 2^3)^(3/3)
e) (4^3 / 3^2x)
f) (5^3) / (x)
g) (3^2) / (2^2x)
h) (3^3 / 2^5)^(ba)
i) (4^2 / 3^3)^(ba)
j) (2^-2 / 4^3)^(5/2)
k) (-2^-4 / 2^3)^(1/a)

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Aprimorando com Questões

07/03/2024

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Vera Lucia

💡 1 Resposta

07.03.2024

a) 46^aa = 46^(a*a) = (46^a)^a b) 3^8 / a^a = 3^(8 - a*a) c) (3^2 / 2^3)^(2/3) * (2^3 / 3^2)^(3/2) * (3^2 / 2^2)^(2/3) * (2^2 / 3^3)^(3/2) = (3/2)^(2/3) * (2/3)^(3/2) * (3/2)^(4/3) * (2/3)^(-3/2) = 3^(2/3) * 2^(-1/2) d) (3^2 / 2^2)^(2/2) * (3^3 / 2^3)^(3/3) = (3/2)^2 * (3/2)^3 = (3/2)^5 e) (4^3 / 3^2x) = (4/3)^(2/3) * x^(-1) f) (5^3) / (x) = 5^3 / x g) (3^2) / (2^2x) = 9 / (4x) h) (3^3 / 2^5)^(ba) = (3/32)^ba i) (4^2 / 3^3)^(ba) = (16/27)^ba j) (2^-2 / 4^3)^(5/2) = (1/16)^(5/2) * (1/2)^(-5) = 2^(-15) k) (-2^-4 / 2^3)^(1/a) = (-1/8)^(1/a) = -1/8 se "a" for ímpar e 1/8 se "a" for par.