Exponent Rules Review

Product Rule

100

(x²y⁶z)(xy³z⁴)

x³y⁹z⁵

200

(a⁴bcd²)(3a²b⁴c⁶d⁸)

3a⁶b⁵c⁷d¹⁰

300

(-2r⁸s)(7s²¹)

-14r⁸s²²

400

(-3xy)(-4x²y³z)(2x⁵y²z⁷)

24x⁸y⁶z⁸

500

(-abc)(-ab²c)(-3a³b²c)(5a⁴b⁷c)

-15a⁹b¹²c⁴

Power Rule

100

(a³b⁵)²

a⁶b¹⁰

200

(3a⁴b⁵c²)³

27a¹²b¹⁵c⁹

300

(-4xy³)³

-64x³y⁹

400

DAILY DOUBLE

(7x³y⁷z²)⁵

16,807x¹⁵y³⁵y¹⁰

500

(21x⁶y³)³

9,261x¹⁸y⁹

Quotient Rule

100

x⁵/x²

x³

200

(3a⁷)/a⁴

3a³

300

(15x³y⁶)/(3xy³)

5x²y³

400

(27r⁴s)/(36r³s)

3/4r

500

(24a⁴b⁶c³d⁷)/(28a²b⁶c³d⁴)

6/7a²d³

Negative Rule

100

x^-3

1/x³

200

a⁴b^-2c^-3

a⁴/(b²c³)

300

-7x²y³z^-8

(-7x²y³)/z⁸

400

(40r⁷s⁴)/(-8r⁹s³)

(-5s)/r²

500

(4a⁴b^-5c²)^-3

b¹⁵/(64a¹²c⁶)

Mixed Practice

100

(x³y²)²(xy³)

x⁷y⁷

200

(a⁴b³c²)(4ab²c⁶)³

64a⁷b⁹c²⁰

300

(x²y)⁵/(x⁴y)

x⁶y⁴

400

((2r³s⁵t)(3r²s⁴t³)³)/(3rst)²

6r⁶s¹⁵t⁸

500

DAILY DOUBLE

((2m²)³(3n⁴)³)/(9m⁴n⁷)-18m²n⁵

6m²n⁵