Question

2- Calcule as potências de expoente negativo:
a) 2-4 =
b) 3-5 =
c) 5-3 =
d) (35)-4 =
e) ( 23)-5 =
f) (79)-1 =

Answer 1

Resposta:

$a) 2^{-4} =(2^4)^{-1} = 16^{-1}=1/16\\\\b) 3^{-5} =( 3^{5})^{-1} =1/243\\\\c) 5^{-3} =(5^{3})^{-1}=1/125$

$d) (\frac{3}{5})^{-4} = ((\frac{3}{5} )^{4})^{-1} =(\frac{81}{625} )^{-1}=\frac{625}{81} \\\\e) (\frac{3}{5})^{-5} = ((\frac{3}{5})^{5})^{-1} =(\frac{243}{3125} )^{-1}=\frac{3125}{243}$

$(\frac{7}{9} )^{-1} =\frac{9}{7}$

Explicação passo a passo: