More Lessons for Arithmetic
When multiplying numbers
in exponent notation with the same base
, we can add the exponents.
= (a × a) × (a × a × a)
= a2 + 3
This is the first law of exponents
= am + n
Simplify the following; give your answers in exponent form
= 33 + 2
= x5 + 3
Common Error : The first law of exponents does NOT apply to addition of numbers in exponent notation.
≠ am + n
Scroll down the page for more examples and solutions of the first law of exponents and also the other laws of exponents.
Index rules - add and subtract indices
Basic look at the first two index laws
Properties of Exponents
The Product Rule: am
= am + n
The Quotient Rule: am
= am - n
The Power Rule: (am
Example of adding exponents
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