Exponent Properties

Product Rule

100

m²m⁴

m⁶

200

m⁵y³m³y⁴

m⁸y⁷

300

2r³r⁴

2r⁷

400

x⁶x^-4

x²

500

4x³2x⁴

8x⁷

Power Rule

100

(x²)²

x⁴

200

(x²y²)³

x⁶y⁶

300

(3x³)²

9x⁶

400

(2x³r²)³

8x⁹r⁶

500

(3r²t³)³

27r⁶t⁹

Quotient Rule

100

x⁵ / x³

x²

200

x¹⁰y⁴ / x⁶y⁷

x⁴ / y³ 

300

35x⁴ / 5x⁹

7/x⁵

400

12x¹¹ / 40x⁹

3x² / 10

500

(3x⁵y)² / x⁶y⁵

9x⁴ / 2y³

Scientific Notation Operations

100

(7 x 10⁸)(9 x 10⁶)

6.3 x 10¹⁵

200

(9 x 10⁵)/(10 x 10²)

9 x 10²

300

(3.2 x 10⁵)(3.1 x 10⁴)

9.92 x 10⁹

400

(6.25 x 10³)/(2.5 x 10⁵)

2.5 x 10^-2

500

(4.44 x 10⁸)(5.55 x 10³)

2.4642 x 10¹²

Zero and Negative Exponent Rules

100

x⁰

1

200

(3x²y¹⁰)⁰

1

300

(2x⁵y⁰)³

8x¹⁵

400

x^-5y²

y² / x⁵

500

11x^-2y^-6 / 3a^-5b^-4

11a⁵b⁴ / 3x²y⁶