2. Represente as multiplicações abaixo na forma de potência e depois calcule cada uma delas.
1x1=
2 x 2 =
3 x 3 =
4x4
8x8 =
9x9 =
10 x 10 =
11 x 11 =
12 x 12 =
13 x 13 =
14 x 14 =
15 x 15 =
20 x 20 =
25 x 25 =
30 x 30 =
35 x 35 =
40 x 40 =
50 x 50 =
5 x 5 =
6x6 =
7x7=

Respostas

respondido por: Emerre

Expoente de um número

A base é um número qualquer diferente de zero, e o expoente SEMPRE será igual a 1.

Sempre que tivermos um número o expoente é igual a 1, e o seu resultado será igual à base.

É o número que quantifica quantas vezes esse número será multiplicado por ele mesmo.

Reiterando, em todo e qualquer número temos um expoente, que não o representamos. Que é o Expoente de número 1

Na potenciação somamos os expoentes

Primeiro exemplo usarei os do seu exercício

1x1=

1¹ x 1¹

Somaremos os expoentes 1+1=2

Temos, então:

1²

que será 1, pois 1x1 = 1

Vamos ao segundo exercício

2 x 2 =

2¹ x 2¹ =

Somamos os expoentes 1+1=2

Ficamos com 2²=

2 x 2 =4

E assim sucessivamente

conforme abaixo.

$1x1~=~1^1.1^1\\\\\\=1^2\\\\\\Resposta~=~+1\\\\\\\\2x2=\\\\\\2^1.2^1=\\\\\\2^2=\\\\\\Resposta =+4\\\\3x3=\\\\\\3^1.3^1=\\\\\\3^2=\\\\\\Resposta~=~9\\\\\\4.4=\\\\\\4^1.4^1=\\\\\\4^2=\\\\\\Resposta~=~+16\\\\\\8.8=$

$8^1.8^1=\\\\\\8^2=\\\\\\Resposta~=~+16\\\\\\9.9=\\\\\\9^1.9^1=\\\\\\9^2=\\\\\\Resposta~=~+81\\\\\\10.10=\\\\\\10^1.10^1=\\\\\\10^2=\\\\\\Resposta~=~+100\\\\\\11.11=\\\\\\11^1.11^1=\\\\\\11^2=\\\\\\Resposta~=~+121\\\\\\$

$12.12=\\\\\\12^1.12^1=\\\\\\12^2=\\\\\\Resposta~=~+144\\\\\\13.13=\\\\\\13^1.13^1=\\\\\\13^2=\\\\\\Resposta~=~+169\\\\\\14.14=\\\\\\14^1.14^1=\\\\\\14^2=\\\\\\Resposta~=~+196\\\\\\15.15=\\\\\\15^1.15^1=\\\\\\15^2=\\\\\\Resposta~=~+225$

$20.20=\\\\\\20^1.20^1=\\\\\\20^2=\\\\\\Resposta~=~+400\\\\\\25.25=\\\\\\25^1.25^1=\\\\\\25^2=\\\\\\Resposta~=~+625\\\\\\30.30=\\\\\\30^1.30^1=\\\\\\30^2=\\\\\\Resposta~=~+900\\\\\\35.35=\\\\\\35^1.35^1=\\\\\\35^2=\\\\\\Resposta~=~+1225$

$40.40=\\\\\\40^1.40^1=\\\\\\40^2=\\\\\\Resposta~=~+1600\\\\\\50.50=\\\\\\50^1.50^1=\\\\\\50^2=\\\\\\Resposta~=~+2500\\\\\\5.5=\\\\\\5^1.5^1=\\\\\\5^2=\\\\\\Resposta~=~+25\\\\\\6.6=\\\\\\6^1.6^1=\\\\\\6^2=\\\\\\Resposta~+36$