Exponents Part 4 - Quotient Rule and Zero Exponent
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Lesson Summary:
In this lesson, we dive into the Quotient Rule for exponents and the meaning of zero exponents. The Quotient Rule states that if you have the same base in the numerator and the denominator, you write the base once and subtract the exponents. We also learn that any number, except zero, to the power of zero equals one, and that x to the negative power will be explained in the next video. Be careful not to assume that the answer to a quotient problem is one, as it depends on the exponents of the base.
Lesson Description:
Develops the Quotient Rule for exponents and the meaning of a zero exponent
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is the quotient rule for exponents?
- How do you simplify x^5/x^2?
- How do you divide variables with different exponents?
- Why do you subtract the exponents when you divide variables with exponents?
- What is x^50/x^20?
- How do you simplify m^4 n^8 / mn^2?
- How can you simplify variable expressions with exponents by writing out all the factors?
- What is the shortcut for dividing variables?
- How do you simplify x^2 y^8 n^4 / y^5 n x?
- What does x^4 / x^4 equal?
- What does x^0 equal?
- Why does a number to the zero power equal 1?
- What does 18x^6 m^8 / -3x^6 m^2 equal?
- How do you simplify 5x^0 - y^0 + (3x)^0?
- What does 7^8 / 7^2 NOT equal 1^6?
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Staff Review
The concept of dividing variable expressions with the same base is explained in this lesson. The quotient rule in the law of exponents is explained with many different example problems to show how it works. Some of the examples get pretty complicated. All of these examples eventually lead to finding out what a zero exponent means. Then, many examples of simplifying variable expressions with zero exponents are explained. This video series is great to check out if you are learning how to simplify exponent expressions.
