The Laws Of Exponents

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 (x^a) (x^b) = x^(a+b)
Quotient rule	Keep base, – exponents (x^a) ÷ (x^b) = x^(a-b)
Power of a power	Keep base, x exponents (x^a)^b = x^(ab)
Power of a product	Distribute exponents (xyz)^a = x^ay^az^a
Power of a quotient	Distribute exponents (x / y)^a = x^a/y^a
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 / x^a