Simple power laws
Some power calculations or expressions can be simplified using power laws. Powers can only be simplified if the base number is the same - much like collecting like terms in algebra.
For example, the calculation 2² × 2³ can be simplified, as the base number (2) is the same. However, the calculation 2³ × 4² cannot be simplified, as the base numbers (2 and 4) are different.
To simplify a calculation using multiplication, add the powers. This is sometimes called the multiplication law for powers.
To simplify a calculation using division, subtract the powers. This is sometimes called the division law for powers.
We can also use these power laws to simplify algebra in exactly the same way.