Question

Scrie ca puteri:
a)
$\sqrt{17}$
b)
$\sqrt[3]{19}$
c)
$\sqrt[4]{3 {}^{7} }$
d)
$\sqrt[5]{ (\frac{3}{16}) {}^{2} }$
e)
$\sqrt[7] (\frac{ - 5}{17} ) {}^{ - 3}$
​

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

$\it \sqrt[n]{x^k}=x^{\frac{k}{n}}\\ \\ a)\ \sqrt{17}=17^\frac{1}{2};\ \ b)\ \sqrt[3]{19}=19^\frac{1}{3};\ \ c)\ \sqrt[4]{3^7}=3^{\frac{7}{4}};\ \ d)\ \sqrt[5]{\Big(\dfrac{3}{16}\Big)^2}=\Big(\dfrac{3}{16}\Big)^{\frac{2}{5}}\\ \\ \\ e)\ \sqrt[7]{\Big(\dfrac{-5}{17}\Big)^{-3}}=\Big(-\dfrac{5}{17}\Big)^{-\frac{3}{7}}=-\Big(\dfrac{17}{5}\Big)^{\frac{3}{7}}$