Question

VA ROG AJUTOR!!!!!
Va rog!!!!!!!!!!!!!!​

Answer 1

Răspuns:

Explicație pas cu pas:

14.

b) (2⁸·2¹²)⁷:(2⁶)²³=(2⁽⁸⁺¹²⁾)⁷:2⁽⁶ˣ²³⁾=(2²⁰)⁷:2¹³⁸=2¹⁴⁰:2¹³⁸=2⁽¹⁴⁰⁻¹³⁸⁾=2²

c) (7²)⁴⁰:(7⁴·7)¹⁶=7⁽²ˣ⁴⁰⁾:(7⁽⁴⁺¹⁾)¹⁶=7⁸⁰:(7⁵)¹⁶=7⁸⁰:7⁽⁵ˣ¹⁶⁾=7⁸⁰:7⁸⁰=7⁽(⁸⁰⁻⁸⁰⁾=7⁰=1

d) 144¹³:[(2³+2²)²]¹²=144¹³:[(8+4)²]¹²=144¹³:(12²)¹²=144¹³:144¹²=144⁽¹³⁻¹²⁾=144

15

a) 105⁵:35⁵=(3·35)⁵:35⁵=3⁵

b) (2²¹·5²¹):10²¹=(2·5)²¹:10²¹=10²¹:10²¹=10⁽²¹⁻²¹⁾=10⁰=1

c) 6⁸:(2⁸·3⁸)=6⁸:(2·3)⁸=6⁸:6⁸=6⁽⁸⁻⁸⁾=6⁰=1

d) 85³:17³=(5·17)³:17³=(5³·17³):17³=5³·17⁽³⁻³⁾=5³·17⁰=5³·1=5³

e) (3¹⁷·4¹⁷·5¹⁷):60¹⁶=(3·4·5)¹⁷:60¹⁶=60¹⁷:60¹⁶=60⁽¹⁷⁻¹⁶⁾=60¹=60

f) 42¹⁰:(2¹⁰·3¹⁰·7¹⁰)=42¹⁰:(2·3·7)¹⁰=42¹⁰:42¹⁰=42⁽¹⁰⁻¹⁰⁾=42⁰=1