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Propiedad del exponente cero: [tex]$a^0=1$[/tex]

Ejemplo: [tex]$121^0=1$[/tex]

Calcular el valor de:

1. [tex][tex]$3^0+20+10^0$[/tex][/tex]
2. [tex]$12^0+8^0-14^0$[/tex]
3. [tex]$2^0+4^2+3^0$[/tex]
4. [tex][tex]$6^0+7^2-8^0$[/tex][/tex]
5. [tex]$9^3-12^0$[/tex]
6. [tex]$4^3+2^0-9^0$[/tex]
7. [tex][tex]$10^2+8^0+3^3$[/tex][/tex]
8. [tex]$2^5-5^0$[/tex]
9. [tex]$11^2+4^0-2^4$[/tex]
10. [tex][tex]$6^3-8^0$[/tex][/tex]

Sagot :

GinnyAnsweridn
De acuerdo con la propiedad del exponente cero, la cual establece que cualquier número elevado a la potencia de cero es igual a uno ([tex]$a^0 = 1$[/tex]), podemos resolver las siguientes expresiones paso a paso:

1. Expresión: [tex]\(3^0 + 20 + 10^0\)[/tex]

- [tex]\(3^0 = 1\)[/tex]
- [tex]\(10^0 = 1\)[/tex]

Entonces,

[tex]\(1 + 20 + 1 = 22\)[/tex]

Resultado: [tex]\(22\)[/tex]

2. Expresión: [tex]\(12^0 + 8^0 - 14^0\)[/tex]

- [tex]\(12^0 = 1\)[/tex]
- [tex]\(8^0 = 1\)[/tex]
- [tex]\(14^0 = 1\)[/tex]

Entonces,

[tex]\(1 + 1 - 1 = 1\)[/tex]

Resultado: [tex]\(1\)[/tex]

3. Expresión: [tex]\(2^0 + 4^2 + 3^0\)[/tex]

- [tex]\(2^0 = 1\)[/tex]
- [tex]\(4^2 = 16\)[/tex]
- [tex]\(3^0 = 1\)[/tex]

Entonces,

[tex]\(1 + 16 + 1 = 18\)[/tex]

Resultado: [tex]\(18\)[/tex]

4. Expresión: [tex]\(6^0 + 7^2 - 8^0\)[/tex]

- [tex]\(6^0 = 1\)[/tex]
- [tex]\(7^2 = 49\)[/tex]
- [tex]\(8^0 = 1\)[/tex]

Entonces,

[tex]\(1 + 49 - 1 = 49\)[/tex]

Resultado: [tex]\(49\)[/tex]

5. Expresión: [tex]\(9^3 - 12^0\)[/tex]

- [tex]\(9^3 = 729\)[/tex]
- [tex]\(12^0 = 1\)[/tex]

Entonces,

[tex]\(729 - 1 = 728\)[/tex]

Resultado: [tex]\(728\)[/tex]

6. Expresión: [tex]\(4^3 + 2^0 - 9^0\)[/tex]

- [tex]\(4^3 = 64\)[/tex]
- [tex]\(2^0 = 1\)[/tex]
- [tex]\(9^0 = 1\)[/tex]

Entonces,

[tex]\(64 + 1 - 1 = 64\)[/tex]

Resultado: [tex]\(64\)[/tex]

7. Expresión: [tex]\(10^2 + 8^0 + 3^3\)[/tex]

- [tex]\(10^2 = 100\)[/tex]
- [tex]\(8^0 = 1\)[/tex]
- [tex]\(3^3 = 27\)[/tex]

Entonces,

[tex]\(100 + 1 + 27 = 128\)[/tex]

Resultado: [tex]\(128\)[/tex]

8. Expresión: [tex]\(2^5 - 5^0\)[/tex]

- [tex]\(2^5 = 32\)[/tex]
- [tex]\(5^0 = 1\)[/tex]

Entonces,

[tex]\(32 - 1 = 31\)[/tex]

Resultado: [tex]\(31\)[/tex]

9. Expresión: [tex]\(11^2 + 4^0 - 2^4\)[/tex]

- [tex]\(11^2 = 121\)[/tex]
- [tex]\(4^0 = 1\)[/tex]
- [tex]\(2^4 = 16\)[/tex]

Entonces,

[tex]\(121 + 1 - 16 = 106\)[/tex]

Resultado: [tex]\(106\)[/tex]

10. Expresión: [tex]\(6^3 - 8^0\)[/tex]

- [tex]\(6^3 = 216\)[/tex]
- [tex]\(8^0 = 1\)[/tex]

Entonces,

[tex]\(216 - 1 = 215\)[/tex]

Resultado: [tex]\(215\)[/tex]
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