1. Educación

EJERCICIOS de POTENCIAS 3º ESO
ALFONSO GONZÁLEZ
I.E.S. FERNANDO DE MENA. DPTO. DE MATEMÁTICAS
c)
22
=
2 −3
(Soluc: 32)
d)
3 -2
=
33
(Soluc: 1/243)
e)
7 -1
=
7 −2
(Soluc: 7)
f)
7 -2
=
7 −1
g)
287
=
284
h)
217
=
2−15
(Soluc: 1/7)
(Soluc: 8)
32
(Soluc: 2 )
i)
2-4
=
22
(Soluc: 1/64)
j)
53
=
5 −2
(Soluc: 3125)
k)
27 ·2−2
=
23
(Soluc: 4)
3 5 ·3 −3
=
9
(Soluc: 1)
3
−4
m) 5 ·52 =
(Soluc: 1/125)
l)
5
n)
27
=
3 4 ·3 −6
(Soluc: 243)
o)
2-2 ·24
=
2-1·2−3
(Soluc: 64)
p)
73 ·7 −3
=
7-1·7 −2
(Soluc: 343)
q)
27 ⋅ 25 ⋅ 23 ⋅ 20
2 ⋅ 23 ⋅ 25 ⋅ 26
=
(Soluc: 1)
r)
3 3 ⋅ 3 -2 ⋅ 3 4
=
3 ⋅ 3 -3 ⋅ 3 -5 ⋅ 3 8
(Soluc: 81)
s)
2 3 ⋅ 4 3 ⋅ 2 -1 ⋅ 8
=
2 ⋅ 8 -2 ⋅ 8 0 ⋅ 2 6
(Soluc: 1024)
t)
25 ⋅ 2 -2 ⋅ 9 ⋅ 3 −4
( )
2 −2 ⋅ 2 2
2
⋅ 3 ⋅ 3 −3
=
(Soluc: 2)
79
EJERCICIOS de POTENCIAS 3º ESO
ALFONSO GONZÁLEZ
I.E.S. FERNANDO DE MENA. DPTO. DE MATEMÁTICAS
u)
23 ⋅ 2 4 ⋅ 5 2 ⋅ 5 −1
=
2 −1 ⋅ 2 2 ⋅ 5 −2 ⋅ 5 −3
(Soluc: 1.000.000)
3
5
6
30
v) 2 ⋅ 4 ⋅ 2 ⋅ 2 ⋅ 8 =
3
4
94
(Soluc: 2 )
16 ⋅ 2 ⋅ 32 ⋅ 2
2
2
3
2
w) 15 ⋅ 3 ⋅ 5 ⋅ 45 =
3
25 ⋅ 5 ⋅ 125 ⋅ 27
(Soluc: 243/5)
=
2
4
·
1
3
·
9
−
−
(Soluc: 9/16)
4
9
·
2
7
2
·
5
2
1
(− )
=
2
3
· 1
4
3
·
2
5
·
2
−
y)
2
2
2
·
2
6
·
2
1
( )
x)
−
(Soluc: 2/5)
·
·
α)
−
3−1 9 −2
·
( )
 32 3 


6
2222
( −3 )
·
z)
 1
27  
3
4
(Soluc: 3 )
−2
3 −2 ⋅ 7 2 ⋅ 3 ⋅ 7 −4 ⋅ 3 5
=
7 3 ⋅ 3 −1 ⋅ 7 −5 ⋅ 3 4
(Soluc: 3)
8
−1
2
3
−2
β) 3 ⋅ 7 ⋅ 5 ⋅ 7 ⋅ 3 =
4
−1
5
3
−2
7 ⋅5
(Soluc: 3)
⋅3 ⋅5 ⋅7
3
2
2
2
γ) 6 ⋅12 ⋅ 18 ⋅ 3 ⋅ 108 =
2
2
27 ⋅ 3 ⋅ 16 ⋅ 48 ⋅ 36
(Soluc: 1944)
δ)
15 2 ⋅ 5 −2 ⋅ 5 3 ⋅ 45 2
(5 3 )2 ⋅ 27 · 3 −2
=
(Soluc: 243/5)
Ejercicios libro: pág. 52: 60, 63, 64 y 65
80