Exponent Rules

Add/Subtract

100

Simplify:

2x³ + 5x³ - y⁵

 7x³ - y⁵

200

Simplify:

8x²y³+ 2x²y³ + 5xy³ + 3xy³

10x²y³ + 8xy³

300

Simplify:

-6x²y⁵+ 6x²y⁵ + 5x³y⁶ - 2x + 8x

5x³y⁶ - 6x

400

Simplify:

3x² + 4x - 7xy - x² - 4x - 3xy

2x² - 10xy

500

Simplify:

10xy - 9x²y³ + 4 - 2xy - 10x²y³ + 5 + 3xy

11xy - 19x²y³ + 9

Multiply

100

Simplify

(x³)(x¹⁰)

x¹³

200

Simplify

(2x⁷)(3x⁴)

6x¹¹

300

Simplify

(-7x²y)(-2x⁸y⁴)

14x¹⁰y⁵

400

Simplify

(-2x³y)(-3x²y²)(2x⁴)

12x²y⁷

500

Simplify

-(-3x⁴y⁴)(-4x²y²)(-2x⁴y⁵)

-24x¹⁰y¹¹

Power Rule

100

Simplify

(x³)⁴

x¹²

200

Simplify

(4x⁵)²

16x¹⁰

300

Simplify

(-2x⁷y³)²

4x¹⁴y⁶

400

Simplify

(-3x⁴y²z)³

-27x¹²y⁶z³

500

Simplify

(-2x²y³z)³(xyz)

-8x⁷y¹⁰z⁴

Divide

100

Simplify

x⁵ / x³

x²

200

Simplify

20x⁸ / 2x⁴

10x⁴

300

Simplify

18x⁸y³ / 3x⁴y²

6x⁴y

400

Simplify

35x¹¹y⁹z⁴ / 7x⁹y⁵z³

5x²y⁴z

500

Simplify

5x⁶y² / 25x⁴y²

x²/5

Name that Rule

100

Name the following rule(s) needed to simplify:

(x²)(x¹⁰)

Product Rule

200

Name the following rule(s) needed to simplify:

(x³)⁴(x⁷)

Product Rule & Power Rule

300

Name the following rule(s) needed to simplify:

6xy² / 3xy

Quotient Rule

400

Name the following rule(s) needed to simplify:

(x²)^{5 /} (x⁷)

Quotient Rule & Product Rule

500

Name the following rule(s) needed to simplify:

(x²)³(x⁶) / x³

Product Rule & Product Rule & Quotient Rule