Question

continuare:ofer corona +mersi
4) (8 la puterea 37 * 81 la puterea 25) : (16 la put. 27 * 27 la put. 33)=

5) (1+ 5 la puterea 10) : (1+ 5 la puterea 10)=

6) x+21=35,3
3x+1< 32,02 in N

Answer 1

4)(8³⁷·81²⁵):(16²⁷·27³³)=
[(2³)³⁷·(3⁴)²⁵]:[(2⁴)²⁷·(3³)³³]=
(2¹¹¹·3¹⁰⁰):(2¹⁰⁸·3⁹⁹)=
2¹¹¹⁻¹⁰⁸·3¹⁰⁰⁻⁹⁹=2³·3=8·3=24

5)(1+5¹⁰):(1+5¹⁰)=1

6) x+21=35x=,3
x=25,3-21
x=4,3

3x+1<32,02
3x<32,02-1
3x<31,02
x<31,02/3
x<10,34

Answer 2

4. [2¹¹¹·3¹⁰⁰]/[2¹⁰⁸·3⁹⁹]
⇒2³·3=8·3=24;

5. [1+5¹⁰]/[1+5¹⁰]=1;

6. x+21=35,3⇒x=14,3;
3x<31,02⇒x<10,34⇒x∈N⇔x∈[0,1,2,3,...,10];