T HE 9 L AWS OF E XPONENTS

L ET ’ S P LAY MATCH!!! Divide into two teams as directed by Ms. S Elect a team member to represent your team for each question (each member must be a representative at least once) Each representative will be allowed one life line while at the board. Team members must also answer the questions on a piece of A4 paper and pass it in by the end of the game. Have fun!

Q UESTION 1: E XPAND AND E VALUATE

Q UESTION 2: R EWRITE IN S IMPLEST E XPONENT F ORM.

Q UESTION 3: S IMPLIFY

Q UESTION 4: E XPRESS IN R ADICAL F ORM AND T HEN E VALUATE

Q UESTION 5: E XPRESS E ACH IN F RACTIONAL F ORM

Q UESTION 6: W RITE AS A N EGATIVE E XPONENT

Q UESTION 7: E XPAND AND S IMPLIFY

Q UESTION 8: S IMPLIFY

Q UESTION 9: E VALUATE W ITHOUT A C ALCULATOR

Q UESTION 10: S IMPLIFY AND E XPRESS A LL A NSWERS W ITH P OSITIVE E XPONENTS

Q UESTION 11: S IMPLIFY

Q UESTION 12: E XPRESS AS A F RACTIONAL E XPONENT

Q UESTION 13: E VALUATE W ITHOUT A C ALCULATOR

Q UESTION 14: E XPRESS AS AN E XPONENT WITH A B ASE OF 3

Q UESTION 15: P ROVE T HAT...

S O W HAT ARE THE 9 L AWS OF E XPONENTS ???

L AW 1: A DDING AND S UBTRACTING L IKE T ERMS Only terms with like exponents and bases can be added or subtracted E.g.

L AW 2: M ULTIPLICATION When multiplying powers that have the same base, keep the base and add the exponents. E.g.

L AW 3: D IVISION When dividing powers with the same base, keep the base and subtract the exponents. E.g.

L AW 4: P OWER OF A P OWER When you have a base with more than one exponent, the exponents are multiplied. E.g.

L AW 5: P OWER OF A P RODUCT When you have multiple bases for a single exponent, the exponent applies to ALL bases. E.g.

L AW 6: P OWER OF Q UOTIENT When you have a fraction with an exponent, the exponent applies to the numerator and the denominator of the fraction. E.g.

L AW 7: T HE Z ERO E XPONENT Any expression with a zero exponent is equal to 1. E.g.

L AW 8: N EGATIVE E XPONENTS You can not leave an answer with a negative exponent. If you have a negative exponent, take the reciprocal of the base and write the exponent as a positive. E.g.

L AW 9: F RACTIONAL E XPONENTS A base with a fraction for an exponent. We can write as. This will help us in simplifying a problem. The following is also true: