Question

Calcule o valor das expressões numéricas.

a) 6^1 • 3^-2 +4^-1 • 7^0

b) (3/5)^-2 • 3^4 • 5^-2

c) 8^4 • 8^3 • 8^4 : 8^8

Answer 1

a)
= 6^1 • 3^-2 +4^-1 • 7^0
= 6.(1/3)^2 + 1/4.1
= 6. 1/9 + 1/4
= 6/9 (:3)/(:3) + 1/4
= 2/3 + 1/4

MMC (4,3)= 12

= (4.2 + 3)/12
= (8+3)/12
= 11/12

b)
= (3/5)^-2 • 3^4 • 5^-2
= (5/3)^2 . 3^4 . (1/5)^2
= 5^2.3^(-2).3^4.5^(-2).1^2
= 5^2.5^(-2).3^(-2).3^4
= 1. 3^(-2+4)
= 3^2
= 9

c)
= 8^4 • 8^3 • 8^4 : 8^8
= 8^(4+3+4) : 8^8
= 8^11 : 8^8
= 8^(11-8)
= 8^3

= 512