1. The document contains exercises involving factorials and simplifying expressions. It asks the reader to calculate factorials, simplify expressions, solve equations, and find values of n. 2. Several exercises involve calculating factorials, adding and subtracting factorials, and simplifying expressions with factorials. 3. Other exercises ask the reader to solve equations involving factorials and exponentials in order to find the value of n. The reader must use properties of exponents and factorials to solve for n in each equation.

1. EXERCÍCIOS
1) Calcule:
a) 4! + 3! b)
!3
!0
c)
)!3.2(
)!3(2
d) 5! + 0! e)
!0
!4
2) Simplifique:
a)
)!1(
)!2(


n
n
b)
!
)!2(
n
n 
c)
)!1(
)!3(


n
n
d)
)!22(2
)!2(
n
n
e)
)1()!3(
)!2()!2(


nn
nn
3) Calcule e simplifique:
a) 


)!1(
1
!
1
nn
b) 



)!1(
)1(
! n
n
n
n
c) 
 )!1()!1(
)!( 2
nn
n
4) Resolva as equações:
a)
)!1(
!)!1(


n
nn
Resp.: n = 7
b) 30
)!2(
!

n
n
Resp.: n = 6
c)
5
7
)!1(2)!1(
)!1(2)!1(



nn
nn
Resp.: n = 3
d) 72
1)1(
)!1(



n
n
Resp.: n = 8
e)
25
6
!)!1(
)!1(!



mm
mm
Resp.: n = 5
f)
29
31
)!2(3!
)!2(3!



nn
nn
Resp.: n = 10