Question

Ajuda.Calcule Usando as propriedades da potenciação

Answer 1

Resposta:

$a) {3}^{4} \times {3}^{6} \times {3}^{8} = {3}^{4 + 6 + 8} = {3}^{18} = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 387.420.489$

$b) {10}^{8} \div {10}^{4} \div 10 = {10}^{8 - 4 - 1} = {10}^{3} = 10 \times 10 \times 10 = 1000$

$c) \: ( {9}^{5} ) {}^{4} = {9}^{5 \times 4} = {9}^{20} = 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times = 31.381.059.609$

$d) \: {15}^{8} \times {15}^{6} \div {15}^{10} = {15}^{8 + 6} \div {15}^{10} = {15}^{14} \div {15}^{10} = {15}^{14 - 10} = {15}^{4} = 15 \times 15 \times 15 \times 15 = 50.625$