1. 6.1 Laws of Exponents

2. The nth power of b, written , where n is a positive integer is:
for n factors
b is called the .
n is called the .
base
exponent

3. Rules for Exponents 1. Product of two powers with equal bases
2. Quotient of two powers with equal bases
3. Power of a power
4. Power of a product
5. Power of a quotient

4. Use properties or exponents to simplify.

5. Use properties or exponents to simplify.

6. More Rules for Exponents
6. Negative exponents
7. Zero exponent
8. Fractions raised to a negative exponent

7. We use these properties because when simplifying exponential expressions, it is best to keep all exponents .
5. Use your answer from #4, to simplify further and make all exponents positive.
When simplifying exponential expressions, use properties of exponents (1-5) to simplify first, then at the end make sure you have all positive exponents.
positive

8. Use properties of exponents to simplify. Use only positive exponents.

9. Use properties of exponents to simplify. Use only positive exponents.