Question

3)responda

a)as potencias 3 elevado a -1 e (-3) elevado a-1,são iguais ou diferentes?


B)as potencias 3 elevado a -2 e (-3) elevado são iguais ou diferentes?

Answer 1

a) 3^-1 = -3^-1


1/3 = - 1/3----->falso



b)

3 ^-2 => 1/9

e

-3^-2=> -1/9 ---->falso

Answer 2

$A)\\3^{-1}= (\frac{1}{3})^1=\ \textgreater \ \boxed{\frac{1}{3}}\\\\(-3)^{-1}= (\frac{-1}{3})^{1}=\ \textgreater \ \boxed{-\frac{1}{3}} \\\\ \boxed{\boxed{3^{-1} \neq (-3)^{-1}}} \\\\\\B)\\3^{-2}= (\frac{1}{3})^{2}=\ \textgreater \ \boxed{\frac{1}{9}}\\\\(-3)^{-2}=( \frac{-1}{3})^2=\ \textgreater \ \boxed{\frac{1}{9}} \\\\\\\boxed{\boxed{3^{-2}=(-3)^{-2}}}$