The laws of exponents are explained here along with their examples.
If ‘x’ is a non-zero integer or a non-zero rational number.
Laws | Rule | Example |
Product Rule | Keep base, + exponents (xa) (xb) = x(a+b) | |
Quotient rule | Keep base, – exponents (xa) ÷ (xb) = x(a-b) | |
Power of a power | Keep base, x exponents (xa)b = x(ab) | |
Power of a product | Distribute exponents (xyz)a = xayaza | |
Power of a quotient | Distribute exponents (x / y)a = xa /ya | |
Zero exponent | Any base with exponent 0 is equal to 1 (x)0 = 1 | |
Negative exponent | Negative exponent can be rewritten with its reciprocal (x)-a = 1 / xa |