Exponents/Index/Power and laws of
exponents
Define the Exponents
Exponents are the way to write repeated
multiplication .e.g. 2x2x2x2 can be written as 24.the exponent 4
shows that how many times the base 2 is used as a multiplied.
Laws of exponents
·
Product
law
·
Quotation
law
·
Power
law
·
Exponent
distribution law of product
·
Exponent
distribution law of division
·
Negative
power law
·
Zero
power law
Product law
Product law tells us to
add the exponents, if the expression that are multiplied have same base.
e.g. a4xa7=a11 .
23x24=27
Quotation
law
Quotation
law tells us to subtract the exponents, if the expression that are divided have
same base.
e.g a3/a2=a 46/42=44
Power law
Power law tells us to multiply
the exponents if a base with exponent is raised to another exponent.
e.g (a2)3=a6
Exponent
distribution law of product
Exponent distribution law of
product tells us, when the exponents applies to a product, distribute it.
e.g (3 x 4)3=33 x 43
Exponent
distribution law of division
Exponent distribution law of
division tells us, when the exponents applies to a quotient/division,
distribute it.
e.g (2/3)7=27/37
Negative
power law
Negative
power law tells us if and when you have a negative power then u make its
reciprocal to change the negative power to positive power.
e.g 2/a-4 = 2a4
Zero power law tells us,
when any number, expression or sentence has whole power/exponent zero then its
value is equal to 1.
e.g
a0 = 1
Let’s proved that:
a0 is
written as (a)1-1
So, a1 X a-1 = 1
a1 x 1/a1 = 1
a1/a1 =1
1 = 1
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