Well what is the difference between the Product of Powers Property and the Power of a Product Property?
The Power of a Product Property is a little different. When you are multiplying two numbers you raise all of them to a power.
Product of Powers Property
James, my mom said I could go to the beach with you but I have to learn the Properties of Exponents.
I can teach you how to use them because I did them last year.
Power to a Power Property
Are we finally done now?
Yes. Now you are an expert on Properties of Exponents!
Power of a Product Property
What is the RationalExponent Property?
The Rational Exponent Property is when the exponent is a fraction. The numerator represents the power of the number.
The denominator of the fraction represents the root of the number. So 8^2/3 would be 2^2. Then that would turn into 4.
Quotient of Powers Property
What is the next property of exponents?
It is called the Quotients of Powers Property. It means when you divide exponents with the same base you just subtract the exponents. So 2^4 / 2^2 would be 2^2.
Zero Exponent Property
So what is the next property of exponents called?
It’s called the Zero exponents property. So when any number is raised to the 0 power it equals 1.