Rules of Exponents

Product Rule

100

x*x*x*x*x*x*x*x*x*x

What is 

x^10

200

x^6 * x^9

What is 

x^15

300

8^8 * 8^8

What is 

8^16

400

2^4 * 2 * 2^3 * 2^5

What is 

2^13

500

x^7 * y^5 * y^8 * x^3

What is 

x^10*y^13

Power Rule

100

(x^6)^5

What is 

x^30

200

(x^3 * y^2)2

What is 

x^6*y^4

300

(3^4)^6 * (3^2)^7

What is 

3^38

400

(7x^6)^4

What is 

7^4 * x^24

500

(-x^3)^3

What is 

-x^9

Quotient Rule

100

6^11 / 6^4

What is 

6^7

200

8^15 / (8^4 * 8^9)

What is 

8^2

300

(x^3 * y^5) / (x^2 * y^3)

What is 

x*y^2

400

(x^27 / x^19) * (x^6 / x^1)

What is 

x^13

500

(x^37 / x^28) * (x^5 * x^4) * (x^7)^3

What is 

x^39

Power of a Quotient

100

(x / y)^4

What is 

x^4/y^4

200

(x / y)^3 * (x / y)^2

What is 

x^5/y^5

300

(x / y)^13 * (x / y)^11

What is 

(x/y)^24

400

(x / y)^-5

y^5/x^5

500

((4x^5)^2) / (4x^5)

What is 

4x^5

Negative Exponents

100

(x / y)^-1

(y/x)

200

x^-2

What is 

1/x^2

300

(x^-4) / (x^-8)

What is 

x^4

400

(4^-1 * x^45 * y^-32)^0

What is 1

500

DOUBLE POINTS: Name the notation for exponents in science courses

What is Scientific Notation