Exponent Rule Review

Product Rule Only

100

(6x²)(4x²y³)

24x⁴y³

200

(3x³y²)(-6y⁵)

-18x³y⁷

300

(-13b⁷)(ab²f⁴)

-13ab⁹f⁴

400

(3x^ay^bz^c)(-2y^fz^g)

-6x^ay^b+fz^c+g

500

(4f⁹h³)(-5f⁶)(-3h²)

60f¹⁵h⁵

Power Rules (Single Base)

100

(6²)³

6⁶ or 46656

200

(2x⁴)³

8x¹²

300

(-3b²)⁵

-243b¹⁰

400

(-v⁴w³)²(-v³)⁴

v²⁰w⁶

500

(y²)⁴(x³y⁵)⁶

x¹⁸y³⁸

Power Rules (Products/ Quotients)

100

(3x)²

9x²

200

(5j²k³)⁴

625j⁸k¹²

300

(10^x/y³)²

10^2x/y⁶

400

(2x⁵/3y⁴)⁵

32x²⁵/243y²⁰

500

(10g⁷/h³)⁶

1,000,000g⁴²/h¹⁸

Quotients & Zero Exponents

100

8r⁵/7x³

2r²

200

70x⁴/7x³

10x

300

48a⁴b²/-12ac⁵

-4a³b²/c⁵

400

x⁴y³z²/x³y²z

xyz

500

(6x⁵/24x⁴)²

x²/16

Negative Exponents & Mixed Review

100

x^-5y²/x^-3y²

1/x²

200

y⁵/y⁷

1/y²

300

x^-7y²/x^-3y^-3

y⁵/x⁴

400

3x⁴y⁸/27x⁶y^-4

y¹²/9x²

500

8a⁴b⁷c^-6/3a⁶b^-6c^-4

8b¹³/3a²c²