Question

Aplique as propriedades e calcule os produtos: 1) 7-^8 . 7+^12 . 7^9 = 2) 8-^9. 8^10. 8^10. 8-^5 = 3) 10^10. 10-^8 . 10-^2 . 10^0 = 4)5^4 : 5-^9 : 5^8 : 5^7 = 5)x-^12. x^13. x^2 =

Answer 1

Resposta:

$1)7^{-8} .7^{12} =7^{(-8)+12} =7^{4} \\\\2)8^{-9}. 8^{10}.8^{-5} =8^{(-9)+10+(-5)}= 8^{-4} \\\\3)10^{10}. 10^{-8}. 10^{-2}. 10^{0} =10000^{10+(-8)+(-2)+0} =10^{0} \\\\4)5^{4} :5^{-9}: 5^{8} :5^{7} =5^{4-(-9)-8-7} =5^{-2} \\\\5)x^{-12}. x^{13}. x^{2}= x^{(-12)+13+2}= x^{3}$

Explicação passo-a-passo:

Operação:

$a^{x} .a^{y} =a^{x+y}$

$\frac{a^{m} }{a^{n} } =a^{m-n} \\\\ if m>n c/ a\neq 0$