Rules of Exponents

• Definition of Negative Exp onents : If x is any non zero real number and n is an integer

• Product Rule of Exponents: If x is a real number and n and m are integers, then

• Quotient Rule of Exponents
If x is a nonzero real number and m and n are integers with m > n then
If x is a nonzero real number and m and n are integers with m < n then

• Raising a Number to the Zero Power : For any nonzero real number x, x⁰ = 1.

• Power Rules of Exponents If x and y are any real numbers and n and m are integers:

Exercises: Simplify all expressions . Your answers should have positive exponents only.

Answers