Question

use as propriedades das potencias e escreva cada expressao por meio de uma potencia:
a)2^5.2^-3
b)10^-1.10^4.10^-8
c)4^3:4^-2
d)(7^2)^3
e) 5^-3/5^4
f) 6^8:6-9

Answer 1

a)2^5.2^-3 = 32.1/8 = 32/8 = 4

b)10^-1.10^4.10^-8 =1/10.10000.1/100000000 = 10000/1000000000 = 1/100000

c)4^3:4^-2 = 64÷1/16 = 64/1.16/1 = 1024

d)(7^2)^3 = 49³ = 117649

e) 5^-3/5^4 = 1/125÷625 = 1/125.1/625 =1/78125

f) 6^8:6-9 = 1679616/-3 = -559872