Show:
The Product Rule
The Quotient Rule
Negative Exponents
Property of Zero
Power to a power
100

xm . xb = x?

xm+b

100

56/52

= 54

100

Simplify: 10-7

1/107

100

Any number to the zero power equals what?

1

100

(43)8

424

200

42 * 4-6

4-4 or 1/42

200

7-4/7-2

= 1/72 or 7-2

200

Rewrite: 1/28

2-8

200

73 / 73 =?

70 or 1

200

If I raise a power to another power what does that mean?

It means we are making new groups of something. So this is like multiplication becuase we are making more copies

300

6x-3 * 3x11

18x8

300

510/5x = 54 what does x equal?

x=6

300

What do negative exponents symbolize that is different from positive exponents?

Negative exponents are like repeatedly dividing by the base number, our number gets smaller but not more negative.

300

Which expressions are equivalent to 1? Select all that apply.

  1. 41

  2. 40

  3. 47 / 47

  4. 1/4-7

  5. 4-7 * 47

   6. 1/4

2. 40      3. 47 / 47      5. 4-7 * 47

300

(3x4)3 = ?

27x12

400

What does x in the following problem equal?

36 * 3x= 314    

x = 8

400

Simplify the expression: 

7-6/7-9

73

400

3. Which of the following is equivalent to 8-7/8-3?


  1. 84

  2.  810

  3. 1/84 

  4. 1/8-4

8-4 or 1/84

400

2. Which of the following is equivalent to 1? Select ALL that apply. 


a. 70

b. 71

c. 73 / 73

d. 72 

e. (71)1

A. 70

C. 73 / 73

400

(122)7 * 12

1215

500

Which of the following expressions is equivalent to:  14-5 * 142?

a. 143      b. 145/142     c. 14-5-2     d. 142/145

B. 145/142

500

 4x5y6/2x2y3

2x3y3

500

39× 3x = 3-23     What does x have to equal?

x= -14

500

Why does any number to the 0 power equal 1?

Because we are essentially saying the number has no power, if you divide the number by itself, it will equal 1.

500

(2x6y43v)4

16x24y16243v4