Review 6.1-6.2 Laws of

Exponents

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:

More examples on your own:

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LAW #8 Rational exponents:Ex:

NOTE:

The bottom number is your root, and top stays as a power

Rewrite these expressions:

Examples:

Examples:

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Examples: Simplify each expression

Get a common denominator - this is going to be our index

Examples: Simplify each expression

Remember we add

exponents

Examples: Simplify each expression

Examples: Simplify each expression

Examples: Simplify each expression