Exponents

Parts

100

What is the base of the following number?

       5²

 5

200

What is the exponent of the following number?

   100¹

1

300

What does it mean to square a number, like 5^2?

    5 x 5  = 25    double it 

400

What does it mean to cube a number like, 5^3?

triple it   5 x 5 x 5 = 125  

500

Name a perfect square? 

 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 

Product

100

     Simplify   

      3²  x  3⁴ 

3⁶

200

7⁶ x 7⁷

  7¹³

300

101² x 101⁶

101⁸

400

57⁹ x 57¹

57¹⁰

500

What is the Product Rule for exponents?

keep the base, add the exponents

Quotient

100

     4² / 4⁵   

4³

200

6³ / 6⁹

6⁶

300

101¹ / 101⁸

101⁷

400

67⁴ / 67⁵

67¹

500

What is the Quotient Rule of exponents?

keep the base, subtract the exponents

Negative

100

10^-4

   1/10⁴

200

23^-5

1/23⁵

300

100^-7

1/100⁷

400

What is the Negative Rule for exponents?

Put the base and exponent under 1 as a fraction? 

500

Why do we make the negative exponent into a fraction?

To make the exponent positive

Power

100

Simplify

(3³)³

3⁹

200

(5²)⁶

5¹²

300

(99¹)⁹

99⁹

400

(234⁴)²

234⁶

500

What is the Power Rule for exponents?

Multiply the exponents