Describe Two Laws Work With Rational Exponents
Review section 10.2 (p. 692) of your text. Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fractional) exponents. The two laws of exponents are
For any real number a and any rational exponents m and n:
1. In multiplying, we can add exponents if the bases are the same. 2. In dividing, we can subtract exponents if the bases are the same. 3. To raise a power to a power, we can multiply the exponents. 4. To raise a product to a power, we can raise each factor to the power. 5. To raise a quotient to a power, we can raise both the numerator
For any real number a and any rational exponents m and n:
1. In multiplying, we can add exponents if the bases are the same. 2. In dividing, we can subtract exponents if the bases are the same. 3. To raise a power to a power, we can multiply the exponents. 4. To raise a product to a power, we can raise each factor to the power. 5. To raise a quotient to a power, we can raise both the numerator