Exponent Rules (Math Lab)

Difference Rules

100

x^5/x^2

x^3

200

(16x^8)/(2x^2

8x^6

300

(2xy^4)/(2xy)

 y^3 

400

x^5/x^7

 1/x^2 

500

4*3^2x^-5

36/x^5

Zero/Negative Rules

100

534¹

534

200

3⁰ + 9

10

300

x^-4

1/x^4

400

7m^-2

7/m^2

500

2x^0*3w^-1*5w^0

30/w

Sum Rules

100

x^2*x^6

x⁸

200

z*4z^10

4z^11

300

2y^5*4y^6

8y¹¹

400

2x^5*4p^2*5x^2

40p^2x^7

500

2x^2*3r^2*5r^4*5x^7

150x⁹r⁶

Power Rules

100

(r^2)^5

r^10

200

(2x^2)^3

8x⁶

300

(2x^4y^5)^6

64x^24y^30

400

(8a^6s^4d)^3

512a^18s^12d^3

500

(4x^3y^2z^3)^-2

1/(16x^6y^4z^6)

Are These Equivalent?

100

4^2 and 2^4

yes, 16

200

3^2 and 2^3

NO! One is odd and one is even.

300

(-1)^5 and 5^(-1)

NO 1 does not equal 1/5

400

Mr. Radcliffe and 5'2

NO!!! THANK THE LORD!

500

(1/3)^2 and 3^-2

Yes, both equal 1/9