Question

zad 6 str 22 Oblicz stosując własności potęg:

a)

b)

c)

d)

e)

f)

g)

h)

i)

Answer 1

a)14⁵ :28⁵ ·(-2)⁵ =(14/28)⁵ ·(-2)⁵ =(1/2)⁵·(-2)⁵ =(-2/2)⁵ =-1⁵=-1

b)8³·8² :(0,8)⁵ =8⁵ ·(10/8)⁵ =10⁵ =100 000

c)10³·10⁴ :(-5)⁷ =10⁷ :(-5)⁷ =(-2)⁷ = -128

d)15³ :5³· (1/6)³ =(15:5)³ ·(1/6)³ =3³ ·(1/6)³ =(3·1/6)³ =(1/2)³=1/8

e)9⁷:9⁵:3² =9² :3² =(9:3)²=3²=9

f)(1,2)⁶ :(1,2)² ·(-5/6)⁴ =(1,2)⁴ ·(-5/6)⁴ =[(12/10 ·(-5/6)]⁴ =(-2/2)⁴=(-1)⁴=1

g)(-2/5)⁴·(2,5)⁴ :(0,5)⁴ =(-2/5 ·5/2)⁴ :(1/2)⁴ =(-1)⁴: (1/2)⁴ =(-1 ·2)⁴ =(-2)⁴ =16

h)(1½)⁵·1,5 :(0,75)⁶ =(3/2)⁵·(3/2)¹ :(3/4)⁶ =(3/2)⁶ :(3/4)⁶ =(3/2 ·4/3)⁶ =2⁶=64

i)(3⅓)¹⁴ :(3⅓)⁴ ·(-3/10)¹⁰ =(3⅓)¹⁰ ·(-3/10)¹⁰ =[(10/3 · (-3/10)]¹⁰ =(-1)¹⁰=1