, Exponents :
1st Law :
+b
x
a
xxb =
ya
multiplication :
add exponents
and Law :
(xa)b =
yab
Raising powers to powers multiply :
exponents
3rd Law
c -
x
a
-
b
Division
:
subtract exponents
4th Law (am)"-am
a >
-
(v)" Man =
Rooting
:
Divide exponents
Rule 1
:
x-a =a
Rule 2 :
= 1 if u + 0
Expressions
Egl
:
500 +
159)" If no bracket , only before is raised
=
s(1) +
1
=
6
Eg2 (3x3
:
3x3)2 (3x3 x3x3)2 x +
(6x3)2 (6x3)2 +
36x4 + 36x
72x9
Equations
Type 1 :
32 =
a
z2 32 =
2x 2
=
x 1
=
Type 2
: 2x
+2
+ 2x2 + 24 =
24
2
2(z2 +
2 + 1) =
29
24(b) =
24
24 =
16
x
=
4
1st Law :
+b
x
a
xxb =
ya
multiplication :
add exponents
and Law :
(xa)b =
yab
Raising powers to powers multiply :
exponents
3rd Law
c -
x
a
-
b
Division
:
subtract exponents
4th Law (am)"-am
a >
-
(v)" Man =
Rooting
:
Divide exponents
Rule 1
:
x-a =a
Rule 2 :
= 1 if u + 0
Expressions
Egl
:
500 +
159)" If no bracket , only before is raised
=
s(1) +
1
=
6
Eg2 (3x3
:
3x3)2 (3x3 x3x3)2 x +
(6x3)2 (6x3)2 +
36x4 + 36x
72x9
Equations
Type 1 :
32 =
a
z2 32 =
2x 2
=
x 1
=
Type 2
: 2x
+2
+ 2x2 + 24 =
24
2
2(z2 +
2 + 1) =
29
24(b) =
24
24 =
16
x
=
4
