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2 y 3 - Amolasmates

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6. Calcular y simplificar:<br />

4<br />

a) - 5 =<br />

4<br />

b) ( - 5)<br />

=<br />

3<br />

c) - 3 =<br />

3<br />

d) ( - 3)<br />

=<br />

6<br />

⎛ 1 ⎞<br />

e) - ⎜ ⎟ =<br />

⎝ 2 ⎠<br />

6<br />

⎛ 1 ⎞<br />

f) ⎜-<br />

⎟ =<br />

⎝ 2 ⎠<br />

3<br />

⎛ 1 ⎞<br />

g) ⎜-<br />

⎟ =<br />

⎝ 3 ⎠<br />

3<br />

⎛ 1 ⎞<br />

h) - ⎜ ⎟ =<br />

⎝ 3 ⎠<br />

i) − =<br />

2 2<br />

2 3<br />

j) ( − ) =<br />

2 2<br />

2 3<br />

−3<br />

k) ( - 3)<br />

=<br />

−4<br />

l) ( - 3)<br />

=<br />

−4<br />

m) - 3 =<br />

−2<br />

3<br />

n) ( 2 ) =<br />

−2<br />

-3<br />

o) ( 2 ) =<br />

−2<br />

3<br />

p) ( -2<br />

) =<br />

3 −2 [ ] =<br />

q) ( -2)<br />

-3 −2 [ ] =<br />

r) ( -2)<br />

2<br />

3<br />

s) ⎡⎛<br />

1 ⎞ ⎤<br />

⎢⎜<br />

⎟ ⎥ =<br />

⎣⎝<br />

5 ⎠ ⎦<br />

-2<br />

2<br />

t) ⎡⎛<br />

3 ⎞ ⎤<br />

⎢⎜<br />

⎟ ⎥ =<br />

⎣⎝<br />

4 ⎠ ⎦<br />

−2<br />

u) ⎡ 5 ⎞ ⎤<br />

=<br />

⎛<br />

⎢⎜<br />

− ⎟<br />

⎣⎝<br />

3 ⎠<br />

⎡<br />

⎢⎜<br />

⎟<br />

⎣⎝<br />

7 ⎠<br />

⎥<br />

⎦<br />

−2 3<br />

⎤<br />

⎥<br />

⎦<br />

−1<br />

v) ⎛ 4 ⎞<br />

=<br />

2<br />

-1<br />

w) ⎡⎛<br />

2 ⎞ ⎤<br />

⎢⎜<br />

⎟ ⎥ =<br />

⎣⎝<br />

9 ⎠ ⎦<br />

7. Calcular, aplicando las propiedades de las potencias, y simplificando en todo momento:<br />

5<br />

a) ⎛ 1 3 ⎞<br />

⎜ ⋅ ⎟ =<br />

⎝ 6 2 ⎠<br />

b) ⎡⎛<br />

−<br />

⎞<br />

⋅ ⋅(<br />

−2)<br />

⎤<br />

=<br />

⎢⎣<br />

⎜<br />

⎝<br />

2<br />

⎜ ⎟<br />

⎝ 3 ⎠<br />

6 1<br />

⎟<br />

5 ⎠ 8<br />

5<br />

⎜ ⎟<br />

⎝ 3 ⎠<br />

c) ⎛ ⎞<br />

⋅<br />

⎛ ⎞<br />

⋅<br />

⎛ ⎞<br />

⋅<br />

⎛<br />

−<br />

⎞<br />

=<br />

⎡<br />

⎢<br />

⎢⎣<br />

7<br />

⎥⎦<br />

−4<br />

−4 −3<br />

−3<br />

−5<br />

2<br />

⎜<br />

⎝ 5<br />

⎟<br />

⎠<br />

1<br />

⎜ ⎟<br />

⎝ 4 ⎠<br />

3<br />

⎤<br />

⎥<br />

3 ⎥⎦<br />

⎜<br />

⎝<br />

d) 15 ⎛ 21 ⎞ 2<br />

⋅ ⋅(<br />

−1)<br />

⋅ =<br />

3<br />

⎟<br />

5 ⎠<br />

12

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