Laws of Exponents

Product of Powers Property: To multiply powers with the same base, add their exponents.

Quotient of Powers Property: To divide powers with the same base, subtract the exponent of the denominator form the exponent of the numerator.

Rewriting Fractions: You can use the prime factorization of a number to write a fraction as an expression involving negative exponents.

Products and Quotients of Powers: You can use the product of powers property and the quotient of powers property to find products and quotients that involve negative exponents.

Read the explanation below to learn more about laws of exponents.

Laws of Exponents


Practice: Answer the following exercises about laws of exponents.

Laws of Exponents 1

Laws of Exponents 2

Laws of Exponents 3

Laws of Exponents 4