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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.

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Presentation on theme: "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."— Presentation transcript:

1 T HE 9 L AWS OF E XPONENTS

2 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!

3 Q UESTION 1: E XPAND AND E VALUATE

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

5 Q UESTION 3: S IMPLIFY

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

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

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

9 Q UESTION 7: E XPAND AND S IMPLIFY

10 Q UESTION 8: S IMPLIFY

11 Q UESTION 9: E VALUATE W ITHOUT A C ALCULATOR

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

13 Q UESTION 11: S IMPLIFY

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

15 Q UESTION 13: E VALUATE W ITHOUT A C ALCULATOR

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

17 Q UESTION 15: P ROVE T HAT...

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

19 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.

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

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

22 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.

23 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.

24 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.

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

26 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.

27 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:


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