Question

Calculati :
a) $(-3)^{5}$ * $3^{6}$ : $( -3)^{9}$
b) $( -8)^{25}$ * $( -4)^{15}$ : $( -16)^{25}$

Answer 1

(-3)⁵ × 3⁶ : (-3)⁹ =
=-(3)¹¹:(-3)⁹=3²


(-8)²⁵ × (-4)¹⁵ : (-16)²⁵=
=(-2³)²⁵ × [-(2²)]¹⁵ : [-(2⁴)]²⁵=
=(-2)⁷⁵ × [-(2³⁰)] : [-(2¹⁰⁰)]=
= 2¹⁰⁵: [-(2¹⁰⁰)]=-2⁵

Answer 2

a)= (-3)la puterea 11/ (-3) la puterea 9= -3²= 9
b)(-2la puterea 3)la puterea 25x(-2)la puterea 2 la puterea15 /( -2)la puterea 4 la puterea 25= (-2)la puterea 50 x (-2)la puterea 50 / (-2)la puterea 100= -2la puterea 100 impartit la -2 la puterea 100=1