Question

Comparati numerele x si y:a)x=2la puterea3,y=2la puterea7;b)x=3la puterea7,y=3la puterea4;c)x=5la puterea25,y=(5la puterea5)la puterea5;d)x=8la
puterea4,y=32la puterea2;e)x=5la puterea7,y=6la puterea7;f)x=10la puterea100,y=15la puterea100;g)x=4la puterea15,y=3x4la puterea14;h)x=9la puterea4x27la puterea3,y=3la puterea5x81la puterea2;i)x=3la puterea2x3la puterea3,y=(3la puterea2)la puterea2;j)x=(2x5)la puterea4x10,y=(10la puterea2)la puterea3;k)x=(5la puterea7:5la puterea3)la puterea4,y=25la puterea8.va rog frumos sa raspundeti numai daca stiti.va multumesc!

Answer 1

a)x=2³,y=2⁷  x<y
b)x=3⁷,y=3⁴    x>y

c)x=5²⁵,y=(5⁵)⁵=5²⁵              x=y
d)x=8⁴=(2³)⁴=2¹²,y=32²=(2⁵)²=2¹°    x>ye)x=5⁷,y=6⁷;    x<y

f)x=10¹°°,y=15¹°°;  x<y

g)x=4¹⁵=4¹⁴x4,y=3x4¹⁴; x>y

h)x=9⁴x27³=3⁸x3⁹=3¹⁷,y=3⁵x81²=3⁵x⁸=3¹³  x>y

i)x=3²x3³=3⁵,y=(3²)²=3⁴    x>y

j)x=(2x5)⁴x10=10⁴x10=10⁵,y=(10²)³=10⁶    x<y

k)x=(5⁷:5³)⁴=(5⁴)⁴=5¹⁶,y=25⁸=(5²)⁸=5¹⁶  x=y