Question

a) (-1/7)⁸. (-1/7)²=
b) (0,3)¹⁰.(0,3)⁵=
c) (-3/13)⁷: (-3/13)²=
d) [(-5)⁴]⁵=
e) (9⅓)³=​

Answer 1

Explicação passo-a-passo:

a) (-1/7)⁸. (-1/7)²=

(1/7)⁸ (-1/7)²

1/5764801 × 1/49

1/5764801 × 49

1/282475249

b) (0,3)¹⁰.(0,3)⁵=

0.3¹⁵

0.0000000143

ou Notação Científica -> 1.434891 × 10¯⁸

c) (-3/13)⁷: (-3/13)²=

-3⁷/17⁷ : (-3/13)²

-2187/410338673 × 169/9

369603/410338673 × 9

-369603/3693048057

-41067/410338673

d) [(-5)⁴]⁵=

(5⁴)⁵

5²⁰

95367431640625

e) (9⅓)³=

(9 × 3 + 1/3)³

(28/3)³

28³/3³

21952/27