Warm Up

A. Exponent Laws Review

Recall that an exponent is a superscripted number on the base of a power that represents how many times the base number is multiplied by itself.



There are a number of Exponent Laws that make working with exponents much easier. Later in the Lesson, you will see how the exponent laws also help with simplifying radicals. Variables are used in the general form of each exponent law to represent numerical values.

 Exponent Laws
the rules governing the combination of exponents

 Variables
used to represent numerical values and are usually represented by letters in the alphabet, such as x, y, z, a, or b.



Key Lesson Marker

Exponent Laws General Forms Examples
Product of Powers Law:
When multiplying powers with
"like" bases, add the exponents.
Quotient or Powers Law:
When dividing powers with "like"
bases, subtract the exponents.
Power of a Power Law:
When a power is raised to an
exponent, multiply the exponents.
Power of a Product Law:
When two or more powers are
raised to the same exponent,
multiply that exponent by the
exponents on the individual powers
in the product.
Power of a Quotient Law:
When two or more powers are
raised to the same exponent,
multiply that exponent by the
exponents on the individual powers
in the numerator and denominator.