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Exponent rules Exponent rules , laws of exponent and examples. What is an exponent Exponents rules Exponents calculator What is an exponent The base a raised to the power of n is equal to the multiplication of a, n times: a n = a × a × ... × a n times a is the base and n is the exponent . Examples 3 1 = 3 3 2 = 3 × 3 = 9 3 3 = 3 × 3 × 3 = 27 Rules of Exponents With Examples Exponents are defined as a number that tells how many times we have to multiply the base number. It is written above the right side of the base number. Learn the rules of exponents , also known as laws or properties of exponents , with definitions, charts, and examples. Find out how to simplify expressions involving decimal numbers, fractions, irrational numbers, and negative exponents . Exponent Laws Different laws of exponents are described based on the powers they bear. Multiplication Law : Bases – multiplying the like ones; add the exponents and keep the base the same. When bases are raised with power to another, multiply the exponents and keep the base the same.