Exponent Rules

Product Rule

100

x² · x⁷

x⁹

200

a · a² · a⁴

a⁷

300

(2a²b)(4ab²)

8a³b³

400

(6x²)(-3x⁵)

-18x⁷

500

(3x³)(3x⁴)(-3x^-5)

-27x²

Power Rule

100

(b³)²

b⁶

200

(8x²y³)²

64x⁴y⁶

300

(6x⁴y⁶)³

216x¹²y¹⁸

400

-3(-2x⁴)⁵

96x²⁰

500

-2(5a³b²cd)²

-50a⁶b⁴c²d²

Quotient Rule

100

x³/x²

x

200

18c⁶/3c

6c⁵

300

9a³b⁴/6a⁴b²

3b²/2a

400

-48x³y⁵/6x⁵y^-2

-8y⁷/x²

500

2x²y^-3/-8x^-1y^-3

x³/-4

Negative/Zero Exponents

100

b⁰

1

200

x^-2

1/x²

300

a^-3b²/c⁰

b²/a³

400

3x^-4y^-1/12(z⁰)

1/4x⁴y

500

-27c^-3e⁰/9d^-4f⁰

-3d⁴/c³

Scientific Notation

100

1.7 x 10³

1700

200

3,450,000

3.45 x 10⁶

300

4.32 x 10^-2

0.0432

400

0.000000678

6.78 x 10^-7

500

(3 x 10²) x (4 x 10⁵)

1.2 x 10⁸