Review 6.1-6.2 Laws of Exponents
LAW #1 Product law: Ex: NOTE: add the exponents together when multiplying the powers with the same base. This operation can only be done if the base is the same! SIMPLIFY THESE ON YOUR OWN:
LAW #2 Power of a power: Ex: NOTE: keep the base and multiply the exponents. Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:
LAW #3 Power of a product: Ex: NOTE: Distribute the power to each number or variable in the parentheses. YOU CANNOT DISTRIBUTE THE POWER WHEN YOU ARE ADDING OR SUBTRACTING!! SIMPLIFY THESE ON YOUR OWN:
LAW #4 Quotient Property NOTE: Ex: This operation can only be done if the base is the same! Subtract “TOP EXPONENT MINUS THE BOTTOM EXPONENT” SIMPLIFY THESE ON YOUR OWN:
LAW #5 Quotient Property Ex: Distribute the power to the top and bottom of the quotient. SIMPLIFY THESE ON YOUR OWN:
LAW #6 Zero exponent law: Any power raised to an exponent of zero equals one. SIMPLIFY THESE ON YOUR OWN:
LAW #7 Negative exponents: NOTE: Ex: This does not change the sign of the base. To make an exponent positive, flip the base. SIMPLIFY THESE ON YOUR OWN:
More examples on your own:
More examples on your own:
More examples on your own:
More examples on your own:
LAW #8 Rational exponents: NOTE: Ex: The bottom number is your root, and top stays as a power Rewrite these expressions:
Examples:
Examples:
Examples:
Get a common denominator - this is going to be our index Examples: Simplify each expression Get a common denominator - this is going to be our index
Remember we add exponents Examples: Simplify each expression Remember we add exponents
Examples: Simplify each expression
Examples: Simplify each expression
Examples: Simplify each expression