MATEMÁTICAS TIMONMATE
EJERCICIOS RESUELTOS DE POTENCIAS Juan Jesús Pascual
1/2
POTENCIAS RESUELTAS
1) Potencia de potencias:
a) ( )
2
4 4 2 8
3 3 3⋅
= =
b) ( )
3
3 3 ( 3) 9
2 2 2
−
− − ⋅ −
= =
c) ( )
2
2
3 3 ( 2) ( 2) 6 ( 2) 12
3 3 3 3
−
−
− − ⋅ − ⋅ − ⋅ −...
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MATEMÁTICAS TIMONMATE
EJERCICIOS RESUELTOS DE POTENCIAS Juan Jesús Pascual
1/2
POTENCIAS RESUELTAS
1) Potencia de potencias:
a) ( )
2
4 4 2 8
3 3 3⋅
= =
b) ( )
3
3 3 ( 3) 9
2 2 2
−
− − ⋅ −
= =
c) ( )
2
2
3 3 ( 2) ( 2) 6 ( 2) 12
3 3 3 3
−
−
− − ⋅ − ⋅ − ⋅ − − = = =
d) ( )
0
4 4 0 0
3 3 3 1⋅
= = =
e) ( )
2
2
1
3 3 ( 1) ( 2) ( 1) 3 ( 1) ( 2) ( 1) 6
6
1
3 3 3 3
3
−
−
−
⋅ − ⋅ − ⋅ − ⋅ − ⋅ − ⋅ − − = = = =
2) Multiplicación de potencias:
a) 4 2 4 2 6
2 2 2 2+
⋅ = =
b) 2 6 1 2 6 9
3 3 3 3 3+ +
⋅ ⋅ = =
c) 4 2 4 ( 2) 4 2 2
2 2 2 2 2− + − −
⋅ = = =
d) 4 2 4 ( 2) 4 2 6
6
1
2 2 2 2 2
2
− − − + − − − −
⋅ = = = =
e) 1 3 2 1 3 ( 2) 1 3 2 0
2 2 2 2 2 2 1− − − + + − − + −
⋅ ⋅ = = = =
f) ( ) ( ) ⋅ ⋅ +
⋅ ⋅ = ⋅ = ⋅ = ⋅ = =
5 7
5 7 3 4 3 5 4 7 15 28 15 28 43
27 81 3 3 3 3 3 3 3 3
g) ( ) ( ) ⋅ ⋅ + +
⋅ ⋅ = ⋅ ⋅ = ⋅ ⋅ = ⋅ ⋅ = =
3 2
3 4 2 2 4 3 2 3 4 3 2 6 4 6 6 4 6 14
25 5 125 5 5 5 5 5 5 5 5 5 5 5
3) División de potencias:
a) 3 2 3 2 1
5 : 5 5 5 5−
= = =
b) 3 3 3 ( 3) 3 3 6
11 :11 11
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