Test suivant : |
|
Calcul NUMERIQUE |
SERIE N° 5: Niveau 3 |
-w-r-v- |
CORRIGE : PUISSANCE
d'opérations simples
:
Transformer
les expressions suivantes |
résultat |
Obs. |
= |
= x
-p |
|
x n
x p = |
x n
x p = x n+p |
|
X n
Y n = |
X n
Y n = ( X
Y ) n |
|
= xp |
= xp |
|
( X
n )p = |
( X
n )p = X np |
|
X np = |
X np = ( X n )p |
|
x n+p
= x n x p |
x n+p
= x n x p |
|
( X Y ) n = X
n Y n |
( X Y ) n = X
n Y n |
|
= |
= |
|
= |
= x n-p |
|
x
-p = |
x
-p = |
|
X n-p
= |
X n-p
= |
|
= |
= |
|
|
résultat |
|
= |
= = x -p |
= 3 -3 |
x n
x p = |
x n
x p = x n+p |
33
3 2 = 3 3+2 |
X n
Y n = |
X n
Y n = ( X
Y ) n |
3 3 2 3 = ( 3 2) 3 ( 3 2 ) 3
= ( 31 21 )
( 32 22 ) ( 33
23 ) =( 33
23 ) |
= xp |
= xp |
= 32 |
( X
n )p = |
( X
n )p = X np |
( 3
2 )3 =
3 23 = 36 |
X np = |
X np = ( X n )p |
3 23 = 36 =( 3 2 )3 |
x n+p
= x n x p |
x n+p
= x n x p |
3 3+2 =
33 3 2 |
( X Y ) n = X
n Y n |
( X Y ) n = X
n Y n |
( 3 2 ) 3= 3 3 2 3 |
= |
= |
== == |
= |
= x n-p |
= 3 2-3 * |
x
-p = |
x
-p = |
3
-3 = |
X n-p
= |
X n-p
= |
3 2-3
= |
= |
= |
= |