Question

aplique as propriedades das potências e reduza a uma só potência :
a) (-1/2) 2 . (-1/2) 3
b) [(-4/7)3] 5
c) (3/7) 5 : (3/7) 11
d) (-2/3) 4 . (-2/3) 3 . (-2/3) -2

Answer 1

a)
$(- \frac{1}{2} )^2\times(- \frac{1}{2} )^3=(- \frac{1}{2} )^{2+3}=(- \frac{1}{2} )^5$

b)
$[(- \frac{4}{7} )^3]^5=(- \frac{4}{7} )^{3.5}=(- \frac{4}{7} )^{15}$

c)
$( \frac{3}{7} )^5\div( \frac{3}{7} )^{11}=( \frac{3}{7} )^{5-11}=( \frac{3}{7} )^{-6}$

d)
$(- \frac{2}{3} )^4\times(- \frac{2}{3} )^3\times(- \frac{2}{3} )^{-2}=(- \frac{2}{3} )^{4+3-2}=(- \frac{2}{3} )^5$