Question

1. Calcule as potências A) (+3/5)² B) (-4/3)² C) (-1/5)² D) ( -3/7)² E) (- 1/3)³ F) (+1/3)² G) (-1/2)^5 H) (-8/13)²

Answer 1

a)

$( \frac{3}{2}) {}^{2} = \frac{ {3}^{2} }{ {5}^{2} } = \frac{9}{25}$

b)

$( - \frac{4}{3}) {}^{2} = \frac{( - 4) { }^{2} }{( - 3) {}^{2} } = \frac{16}{9}$

c)

$( - \frac{1}{5}) {}^{2} = \frac{( - 1) {}^{2} }{( - 5) {}^{2} } = \frac{1}{25}$

d)

$( - \frac{3}{7} ) = \frac{( { - 3}^{2}) }{ ({ - 7}^{2}) } = \frac{9}{49}$

e)

$( - \frac{1}{3}) = \frac{ ({ - 1}^{2}) }{( { - 3}^{2} )} = \frac{1}{9}$

f)

$( \frac{1}{3} ){}^{2} = \frac{1 {}^{2} }{ {3}^{2} } = \frac{1}{9}$

g)

$( - \frac{1}{2} ) {}^{5} = \frac{( - 1) {}^{5} }{( - 3) {}^{5} } = \frac{1}{243}$

h)

$( - \frac{8}{13} ) {}^{2} = \frac{ (- 8) {}^{2} }{( - 13) {}^{2} } = \frac{64}{169}$