Math (Law of Exponents)

Product of powers

This is a basic law of exponents wherein when multiplying powers with the same base add the exponent

a^m • a^n = a^m+n

Power of a product

A basic law of exponent where in the exponent applies to each factor in the product

(ab)^n = a^n b^n

Power of a product

A basic law of exponent where in the exponent applies to each factor in the product

(ab)^n = a^n b^n

Power of a quotient

A basic law of exponent wherein the exponent applies to both numerator and denominator

(a/b)^n = a^n/b^n

Power of a power

Basic law of exponent when raising a power to another power we multiply the exponents

(a^m)^n

Zero exponent

Basic law of exponent wherein any zero quantity raised to the zero power is one

a⁰ = 1

Negative exponent

Basic law of exponent wherein the negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent

a^-n = 1/a²