Question

Escreva na forma de potência com o expoente fracionário:
a)√17 d)⁶√a⁵
b)⁴√2³ e)³√x²
c)⁵√3² f)1/√3​

Answer 1

a)

$\mathsf{\sqrt{17}={17}^{\frac{1}{2}}}$

b)

$\mathsf{\sqrt[4]{{2}^{3}}={2}^{\frac{3}{4}}}$

c)

$\mathsf{\sqrt[5]{{3}^{2}}={3}^{\frac{2}{5}}}$

d)

$\mathsf{\sqrt[6]{{a}^{5}}={a}^{\frac{5}{6}}}$

e)

$\mathsf{\sqrt[3]{{x}^{2}}={x}^{\frac{2}{3}}}$

f)

$\mathsf{\dfrac{1}{\sqrt{3}}=\dfrac{1}{{3}^{\frac{1}{2}}}={3}^{-\frac{1}{2}}}$

Answer 2

Resposta:

Explicação passo-a-passo:

$a)\\\sqrt{17} = 17^{\frac{1}{2}}\\ b)\\\sqrt[4]{2^3} = 2^{\frac{3}{4}}\\\\c)\\\sqrt[5]{3^2} = 3^{\frac{2}{5}}\\\\d)\\\sqrt[6]{a^5} = a^{\frac{5}{6}}\\\\e)\\\sqrt[3]{x^2} = x^{\frac{2}{3}}\\\\f)\\\frac{1}{\sqrt{3}}=\frac{1}{3^\frac{1}{2}} = 3^{-\frac{1}{2}}$