Vocabulary and Rules
Standard/Expanded Form
Power of a Product Rule
Power of a Quotient Rule
Power of a Power Rule
100

Which number is the BASE: 54 

5

100

Write 2 x 2 x 2 x 2 in STANDARD form:


                    Base & Exponent

24

100

Solve:


57  X  53

510

100

Solve:


85  ÷  83

82

100

Solve:

(42)4

48

200

Which number is the exponent: 73

3

200

Write 7in EXPANDED FORM:

7 x 7 x 7 x 7 x 7

200

Solve:

210 X 23

213

200

Solve:


78  ÷  71

77

200

Solve:

(83)4

812

300

When multiplying numbers with the SAME base: 


                         ADD or SUBTRACT

                            the exponents

ADD

300

Write 6 x 6 x 6 x 6 x 6 in STANDARD FORM:


Base & Exponent

65

300

Solve:

5X 54

59

300

Solve:


69   ÷   65

64

300

Solve:


(95)4

920

400

When dividing numbers with the SAME base: 


                         ADD or SUBTRACT

                            the exponents

SUBTRACT

400

Write 9in EXPANDED FORM:

9 x 9 x 9 x 9 x 9 x 9 x 9

400

Solve:


38  X  33

311

400

Solve:


410   ÷    45

45

400

Solve:


(57)7

549

500

When solving exponents with parenthesis ( ): 


                         ADD or MULTIPLY

                            the exponents

MULTIPLY

500

Write 4 x 4 x 4 x 4 in STANDARD FORM:

44

500

Solve:


1010   X  1010

1020

500

Solve:


218  ÷  215

23

500

Solve:


(108)8

1064