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calculați 1. 11^40:11^10=
2. (36^9)^12:(36^15)^7
3. (14^5)^4ori(14^6)^2
4. 2^0+2^2+2^3
5. 2^2+2^5:2^2-0^5-1^5
6. 3^3+3^8:3^7-0^7-1^7
7. 11^5:11^4+11^4:11^3+11^3:11^2+11^2:11
Va roggg repede dau coroana ​


Răspuns :

Răspuns:

1. 11^40:11^10=11^30

2.(36^9)^12:(36^15)^7=36^108:36^105=36^3=46656

3.(14^5)^4×(14^6)^2=14^20×14^12=14^8=1475789056

4. 2^0+2^2+2^3=0+4+8=12

5.2^2+2^5:2^2-0^5-1^5=4+2^3-0^5-1^5=4+8+0+1=13

6.3^3+3^8:3^7-0^7-1^7=9+3^1-0+7=9+3+7=19

7. 11^5:11^4+11^4:11^3+11^3:11^2+11^2:11=11^1+11^1+11^1+121:11=11+11+11+11=44

Sper ca te.am ajutat. coroana??

Răspuns:

Explicație pas cu pas:

1).   11⁴⁰ : 11¹⁰ =11⁽⁴⁰⁻¹⁰⁾ = 11³⁰

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2).   (36⁹)¹² : ( 36¹⁵)⁷ = 36³

= 36⁽⁹ˣ¹²⁾ : 36⁽¹⁵ˣ⁷⁾ =

=36¹⁰⁸ : 36¹⁰⁵ =

=36⁽¹⁰⁸⁻¹⁰⁵)=

=36³

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3)

(14⁵)⁴ x (14⁶)² = 14⁸

= 14⁽⁵ˣ⁴⁾ x 14⁽⁶ˣ²⁾ =

= 14²⁰ x 14¹²

= 14⁽²⁰⁻¹²⁾ =

= 14⁸

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4.

2⁰ + 2² + 2³ = 1 + 4 + 8 = 13

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5.

2² + 2⁵ : 2² - 0⁵ - 1⁵ = 11

= 4 + 2⁽⁵⁻²⁾ - 0 - 1 =

= 4 + 2³ - 1 =

= 4 + 8 - 1 =

= 11

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6.

3³ + 3⁸ : 3⁷ - 0⁷ - 1⁷ = 29

= 27 + 3⁽⁸⁻⁷⁾ - 0 - 1 =

= 27 + 3¹ - 1 =

= 29

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7.

11⁵ : 11⁴ + 11⁴ : 11³ + 11³ : 11² + 11² : 11 = 44

= 11⁽⁵⁻⁴⁾ + 11⁽⁴⁻³⁾ + 11⁽³⁻²⁾ + 11⁽²⁻¹⁾ =

= 11¹ + 11¹ + 11¹ + 11¹ =

= 44