Exponent Rules

Product Rule

100

-4x^3 * 2x^6

-8x^9

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

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

(4x^3)/(2m^4)

Negative Exponent Rule

100

4x^-8

4/x^8

200

(x^-3)/(x^4)

1/(x^7)

300

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

18/(x^4)

400

(x^-3v^5)^-2

x^6/(v^10)

500

11a^2 * 3a^-6

33/a^4

Mixed Review

100

What is the base?        b⁴

The 'b'

200

Write this exponent in expanded form.        g³

(g) (g) (g)

300

(6x^2y^9)/(2xy^3)

3xy⁶

400

(40g^7h^3)/(5g^4h^2)

(8g^3h)

500

(a^0b^7c^4)/(b^5c)

b² c³

Exponent Rules

100

When multiplying variables, you do this to the exponents.

Add them.

200

When dividing variables, you do this to the exponents.

Subtract them.

300

What does a variable equal if it has an exponent of zero

1

400

What occurs when a variable has a negative exponent?

It moves (usually to the bottom of the fraction).

500

When raising a variable and exponent to another power, you do this with the exponents.

Multiply them