Question

10 puncte!! Calculați:
a) 32^5:[(-2)^4•2^3]•8^2
b) 16•(-8):(-2)^5
c) 81•3^7:(-9)^5
d) -125:(-5)^3•25
e) 15^75:(-5)^73:(-3)^73
f) -4^3:(-4)^2+(-5)^100:25^49-(-3^4)^5:(+3^2)^10
REZOLVAT COMPLET ŞI CORECT!!

Answer 1

a) 32⁵:[(-2)⁴•2³]•8² =
 =(2⁵)⁵:[2⁴•2³]•(2³)² =
 =2²⁵:2⁷•2⁶ =
 =2¹⁸•2⁶ =
=2²⁴


b) 16•(-8):(-2)⁵=
=2⁴•(-2)³:(-2)⁵=
=-2¹² :(-2)⁵= 2⁷


c) 81•3⁷:(-9)⁵ =
= 3⁴•3⁷:(-3²)⁵ =
= 3¹¹:(-3¹⁰) =
=-3

d) -125:(-5)³•25=
=-5³:(-5)³•5²=
=1*5²=25

e) 15⁷⁵:(-5)⁷³:(-3)⁷³ =
=3⁷⁵ x 5⁷⁵ :(-5)⁷³:(-3)⁷³ =
=3² x 5² =
=9x25=
=225

f) -4³:(-4)²+(-5)¹⁰⁰:25⁴⁹-(-3⁴)⁵:(+3²)¹⁰=
=-4+(-5)¹⁰⁰:(5²)⁴⁹-3²⁰:3²⁰=
=-4+5¹⁰⁰:5⁹⁸-1=
=-4+5²-1=
=-5+25=
=20