Question

Simplifique as expressões

Answer 1

Resposta:

Explicação passo-a-passo:

A) 5^(-2)^4.5^6 = 5^16.5^6 = 5^(16+6) = 5^22

B) 2^-2^4.2^10 = 2^-16.2^10 = 2^(-16+10) = 2^-6 = 1/2^6

C) 3^-23 : 3^-2^6 = 3^-23.3^-64 = 3^(-23-(-64)) = 3^(-23+64) = 3^41

D) 4^-2^3 : 4^-3^2 = 4^-8 : 4^-9 = 4^(-8-(-9)) = 4^(-8+9) = 4^1 = 4

E) (8^-3)^3^-1 = 1/(8-3)^3 =1/(8^-9) = 1/(1/8^9) = 1 × 8^9/1 = 8^9

F) (7^5)^-2^3 = (7^5)^-8 = 7^-40 = 1/7^40