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