Question

me ajudem por favor e pra amanhã ​

Answer 1

Resposta:

a)

2^(1/2*1/2*1/2)

=2^(1/8)

b)

15^(1/2*1/2*4)

=15¹

=15

c)

2^(3*(1/2)*(1/3)

=2^(1/2)

d)

5^(3*(1/2)*(1/3)*(1/3))

=5^(1/6)

e)

3^(1/2 *(1/3)*(1/3))

=3^(1/18)

f)

a^(4*(1/5)*(1/4)*(1/2))

=a^(1/10)

Answer 2

Explicação passo-a-passo:

$a) \sqrt{ \sqrt{ \sqrt{2} } } = \sqrt[2.2.2]{2} = \sqrt[8]{2}$

$b) \sqrt{ \sqrt{15 {}^{4} } } = \sqrt[2.2]{15 {}^{4} } = \sqrt[4]{15 {}^{4} } = 15$

$c) \sqrt[3]{ \sqrt{2 {}^{2} } } = \sqrt[3.2]{2 {}^{2} } = \sqrt[6]{2 {}^{2} } = \sqrt[3]{2}$

$d) \sqrt[6]{ \sqrt{5 {}^{3} } } = \sqrt[6.2]{5 {}^{3} } = \sqrt[12]{5 {}^{3} } = \sqrt[4]{5}$

$e) \sqrt[3]{ \sqrt[3]{3} } = \sqrt[3.3]{3} = \sqrt[9]{3}$

$\sqrt[4]{ \sqrt[5]{a {}^{5} } } = \sqrt[4.5]{a {}^{5} } = \sqrt[20]{a {}^{5} } = \sqrt[4]{a}$