Question

Reduzir cada expressão a uma única potência:
a) (3^2/3 . 3) : (3^-3) ^-0,5
b)(5^1/2 . 5^-1 . 5^2/3) : (5^3 . 5^-0,5)
c)(7^-4 : 7^-2)^0.5 : (7^-4)^1,5

Answer 1

a) (3^2/3 . 3) : (3^-3) ^-0,5
9/9÷3^3/2
1/3^√3²
1/3^√9
(3^√9)^-1
(9^1/3)^-1
9^-1/3


b)(5^1/2 . 5^-1 . 5^2/3) : (5^3 . 5^-0,5)
5^1/2-1+2/3÷5^3-1/2
5^(3-6+4)/6÷5^(6-1)/2
5^1/6÷5^5/2
5^1/6-5/2
5^(2-5)/2
5^-3/2


c)(7^-4 : 7^-2)^0.5 : (7^-4)^1,5
(7^-4+2)^0.5÷(7^-4)^6/4
(7^-2)^1/2÷7^-24/4
7^-2/2÷7^-6
7^-1÷7^-6
7^-1+6
7^5