Mathematics grafe 12 exponents notes

Exponents
Laws of Exponents




↑




Power of a Power

a xay =
+Y
ax
air g6
4
e
(ax)3 = qxxy

(23)2
-




32 .
33 = 32
+3
54 = = 23x2

= 35 = S5 = 26

= 243
=
25 = 64




Power of 1
a Power of a : Negative Exponent

(9 b)x .
=
amxbx lay as a
=
=
ab
I


4
3
3)4 (4)3
-




(2 . = 24x34 = 2 = 23

=
16 x 81 by = '
= 1296 =
g




Exponent of Zero Fractional Exponent Simplifying Exp . Fractions

90 =
1(a + 0) as = yax combine like terms using

50 = 1 ga = 3gi laws of Exponents .

= 2 23 .
2-

+ 1)
23
-



=




= 22 = 4




Surds Surds involve irrational roots .




2 = 2