Question

calcule as potencias de expoentes fracionários:
a) $8\frac{1}{3}$
b) $(0,25)\frac{1}{2}$
c) $32\frac{1}{5}$
d)$(\frac{81}{10.000})^{\frac{1}{4} }$
e)$(\frac{1000}{27})^{\frac{-1}{3} }$

Answer 1

Explicação passo-a-passo:

.

$8 \dfrac{1}{3}$

$\dfrac{8 \times 3 + 1}{3}$

$\dfrac{25}{3}$

.

$(0.25) \dfrac{1}{2}$

$( \dfrac{1}{4} ) \dfrac{1}{2}$

$\sqrt{ \dfrac{1}{4} }$

$\dfrac{1}{2}$

.

$32 \dfrac{1}{5}$

$\dfrac{32 \times 5 + 1}{5}$

$\dfrac{161}{5}$

.

$( \dfrac{81}{10000} ) \dfrac{1}{4}$

$\sqrt[4]{ \dfrac{81}{10000} }$

$\dfrac{3}{10}$

.

$( \dfrac{1000}{27} ) - \dfrac{1}{3}$

$( \dfrac{27}{1000} ) \dfrac{1}{3}$

$\sqrt[3]{ \dfrac{27}{1000} }$

$\dfrac{3}{10}$