The following properties (rules) are used when working with exponents.
Let x and y be real numbers, variables, or algebraic expressions that yield real numbers,
and let m and n be positive integers.
See more explanations and examples of these rules at Algebra 1: Exponents.

bullet Properties of Exponents (Rules):

Exponent Rule: Symbolism: In plain English ...
Zero Exponent x0 = 1 All numbers (not zero) raised to the zero power equal one.
Negative Exponent expneg A negative exponent tells you that the factor is on the wrong side of the fraction bar. ( x is not zero).
Product Rule prodrule When multiplying, and the bases are the same, ADD the exponents.
Quotient Rule quotrule When dividing, and the bases are the same, SUBTRACT the exponents. (top exponent subtract bottom exponent)
Power to a Power powrule When raising a power to a power, MULTIPLY the exponents.
Product to a Power pprule When raising a product to a power, EACH factor gets raised to the new power.
Quotient to a Power quot1

When raising a quotient to a power, BOTH top and bottom get raised to the new power.

For information regarding 00, see Information on Exponents.



divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".