Question

simplifique a expressao (343)^-2/3.

Answer 1

$343^{\frac{-2}{3}}=\\\\ {(\dfrac{1}{343})}^{\frac{2}{3}}=\\\\ {(\dfrac{1}{343^2})}^{\frac{1}{3}}=\\\\ {(\dfrac{1}{117649})}^{\frac{1}{3}}=\\\\ \sqrt[3]{\dfrac{1}{117649}}=\\\\ \dfrac{1}{49}$

Answer 2

343

3

−2

=

(

343

1

)

3

2

=

(

343

2

1

)

3

1

=

(

117649

1

)

3

1

=

3

117649

1

=

49

1