Guide by Mr GT Mogopodi :GRADE 9
EXPONENT LAWS
1.This section is based on the logic of multiplaying and dividing quantity i.e (X ,Y, k...etc) note that a quantity can be any
letter, as it represent unknown value.In some books they call it a variable.On the other hand let us say we have a
variable to the power of a constant,that constant it is an EXPONENT.
i.e m²or k³...etc,that 2 and 3 we call them exponents.However on some cases exponets can also be variables.
1.1LAW 1.WHEN MULTIPLAYING SAME BASES WE ADD THE EXPONENTS
i.e)
B²×B²=B⁴
1.1.1 ALTERNETIVE LAW1.WHEN MULTIPLAYING 2 BASES IF AND ONLY IF THEY HAVE THE SAME EXPONENTS YOU CAN
MULTIPLY THE 2 BASE TOGETHER and keep only one exponet without adding them
i.e)
A²×B²=(AB)²
Example1:
2²×3²=6²
1.2LAW 2:WHEN DEVIDING SAME BASES WE SUBTRACT THE EXPONENTS
i.e) B⁴÷B=B³(the is no alternetive)
Major Examples: