Laws of Exponents

Product Rule

100

x^2*x^3

x^5

200

x^7*x^9*x

x^17

300

b^5*b^6

b^11

400

4^3*4^2

4^5

500

b^3c^3*b^2c^2

b⁵c⁵

Quotient Rule

100

x^5/x^2

x^3

200

(x^3)/(x)

x^2

300

(5^9)/(5^2)

5^7

400

(a^2b^3)/(ab)

ab^2

500

(a^3b^4)/(a^2b^3)

ab

Power Rule

100

(a^2)^3

a^6

200

(5^3)^5

5^15

300

(10^7)^0

1

400

(a^3b^4)^4

a^12b^16

500

(b^2c^4)^2

b^4c^8

Negative Exponent Rule

100

x^-1

1/x

200

x^2/x^5

write without negative exponents

1/(x^3)

300

x^-2y^-2

1/(x^2y^2)

400

(x^3)^-2

1/x^6

500

x^3*x^-5

1/(x^2)

Evaluate Exponents

100

"What is " 3^3

27

200

"What is "2^5

32

300

"Evalute "2^2*3^2

36

400

"Evaluate" (2^4)/(3^0)

16

500

"Evaluate " 3^3 + 3^0

28

Just for fun!

100

What is the largest planet in our solar system?

Jupitar

200

Name the Disney character who flies on a carpet.

Aladdin

300

Which is the fastest land animal?

The cheetah. It can go up to speeds of 70 miles per hour. 

400

Which company owns PlayStation?

Sony

500

What is the closest star to the Earth?

The Sun