Exponent Rules

Product Rule

100

When multiplying variables, you do this to the exponents.

What is add them?

200

2x^5 * x^7

2x^12

300

(4f^8)(6f^4)

24f^12

400

(8r^5)(2r^-7)

16/r^2

500

(7s^5p^3)(3s^6p^-5)

(21s^11)/p^2

Power Rule

100

(x^4)^5

x^20

200

4(y^3)^2

4y^6

300

(x^3y^2)^6

x^18y^12

400

(4w^5)^2

16w^10

500

(8w^3y^7)^0

1

Quotient Rule

100

x^7/x^3

x^4

200

(2x^6)/(6x^5)

x/3

300

(8x^10)/(4x^3)

2x^7

400

(w^6u^2)/(w^3u^9)

w^3/(u^7)

500

(4x^2m^4x^5)/(8x^8m^8)

1/(2m^4x)

Negative Exponent Rule

100

4x^-8

4/x^8

200

X^-3 / X³

1/X⁶

300

(3x^-8)(6x^4)

18/(x^4)

400

(x^-3v^5)^-8

x^24/(v^40)

500

11a^2 * 3a^-6

33/a^4